Department of Mathematical Sciences

Prof T Nazir

College of Science, Engineering and Technology
School of Science
Department: Mathematical Sciences
Associate Professor
Tel: 011 670 9167
E-mail: talatn@unisa.ac.za

Qualifications

  • Post-Doctoral in Mathematics (Functional Analysis), Malardalen University at Vasteras, 2015, Sweden,
  • Post-Doctoral in Mathematics, University of Technology at Eindhoven, 2014, Netherlands,
  • PhD in Mathematics, Lahore University of Management Sciences, Lahore, 2012, Pakistan,
  • MS in Mathematics, Lahore University of Management Sciences, Lahore, 2009, Pakistan,
  • MSc (Honor’s) in Mathematics, Hazara University, Mansehra, 2007, Pakistan,
  • BSc in Mathematics, Hazara University, Mansehra, 2004, Pakistan,
  • Diploma in Information Technology, Skills Development Council, Abbottabad, 2004, Pakistan.

NRF Rating

C3

Currently teaching

  • Linear Algebra,
  • Mathematics of Optimization Theory,
  • Graph Theory.
  • Functional Analysis

Fields of academic interests

  • Functional Analysis
  • Real Analysis
  • Calculus (All kinds)
  • Linear Algebra
  • Differential Equations
  • Mathematics of Optimization Theory
  • Graph Theory
  • Control Theory

Field of Specialisation

  • Functional Analysis
  • Fixed-point Theory and its Applications
  • Variational Inequality and Optimization Theory
  • Dynamical Systems
  • Partial Differential Equations
  • Hydro Dynamics

Books

Books

  • Existence of Solution of Operator Equations and Applications, co-authored with Dr. Mujahid Abbas: ISBN 978-3-659-24251-9, (2012), LAP Lambert Academic Publishing GmbH & Co. KG, Germany.

Books Chapters

    1. Nazir and M. Abbas, Best Proximity Point Problems in G- Metric Spaces and its Applications, Tripathy et al. (Eds.): Operators, Inequalities and Approximation: Theory and Applications, Springer Nature Singapore, 205 pages, ISBN 978-981-97-3238-8, Ch. 7 (2024), Pages 171-195.
    2. Nazir and M. Abbas, G-Metric Space and Fixed Point Results in G-Metric Spaces (Book Chapter 7), M. Ruzhansky and H. Dutta (Eds.) Mathematical Analysis for Applied Sciences and Engineering, CRC Press, Taylor & Francis Group, (2024), 42 pages.
    3. Ali, T. Nazir and N. Sundus, Fixed points of multivalued (–)-contractions and metric transforms, J. Singh et al. (Eds.) Methods of Mathematical Modelling and Computation for Complex Systems, Springer Nature Switzerland AG, 621 pages, ISBN 978-3-030-77169-0_15, Ch. 15 (2022), Pages 375-411.
    4. Nazir and M. Abbas, Fixed Point of Multivalued Cyclic Contractions, H. Dutta (Eds.) Topics in Mathematical Analysis and Applications, CRC Press, Taylor & Francis Group, 338 pages, ISBN: 9781003081197, Ch. 10 (2021), Pages 249-280.
    5. Abbas and T. Nazir, Fixed Point of Mappings on a Metric Space Endowed with a Graphic Structure, M. Ruzhansky and H. Dutta (Eds.) Advanced Topics in Mathematical Analysis, CRC Press, Taylor & Francis Group , 608 pages, ISBN: 9781351142120, Ch. 9 (2019), Pages 285-298.
    6. Abbas and T. Nazir, Attractor of the Generalized Contractive Iterated Function System (Book Chapter 11), M. Ruzhansky, H. Dutta and R.P. Agarwal (Eds.) Mathematical Analysis and Applications: Selected Topics, Wiley, USA, 2018, 768 pages, ISBN: 9781119414421, Ch.11 (2018), Pages 401-428.

Journal articles

T. Nazir and S. Silvestrov, Common Attractors for F-Iterated Function Systems in G-Metric Spaces, Fractal and Fractional, 8 (6), 336 (2024), 1-22. (Impact factor of the journal 5.4).

T. Nazir, M. Abbas and H. H. Lodhi, Iterated Function System of Generalized Cyclic F-Contractive Mappings, Applied General Topology, Vol. 25, Issue 1, (2024), 79-96. (Impact Factor of the journal 0.8).

A. Ullah, N. Raza, and T. Nazir, Mathematical simulations and sensitivity visualization of fractional order disease model describing human immunodeficiency, Alexandria Engineering Journal, Volume 87 (2024), 1-16. (Impact Factor of the journal 6.8).

M. Rafique, T. Nazir and H. Kelata, Fixed Points of Fuzzy Multivalued F-Contractive Mappings with a Directed Graph in Parametric Metric Spaces, Problemy Analiza — Issues of Analysis, 13 (31), Number 2 (2024), 1-21. (Impact factor of the journal 0.407).

M. Vivas-Cortez, A. Bakar, M. S. Alqarni, N. Raza, T. Nazir and M. Farman, Global Stability and Modeling with a Non-Singular Kernel for Fractional Order Heroin Epidemic Model: Insights from Different Population Studies, Journal of King Saud University – Science, 103329 (2024), 1-29. (Impact factor of the journal 3.8).

T. Nazir, On iterated function systems based on cyclic contractions in dislocated metric spaces, Journal of Nonlinear and Convex Analysis, Accepted (2024), 1-26. (Impact factor of the journal 1.075).

T. Nazir, M. Khumalo and V. Makhoshi, Common Attractors of Generalized Iterated Function Systems in G-Metric Spaces, Journal of Nonlinear and Convex Analysis, Accepted (2024), 1-26. (Impact factor of the journal 1.075).

M. Abbas, T. Nazir and B. E. Rhoades, Fixed and common fixed points of expansive type mappings in generalized metric spaces, Advances and Applications in Mathematical Sciences, (Accepted) (2024), 16 pages.

T. Nazir and S. Silvestrov, Generalized Iterated Function System and Common Attractors of Generalized Hutchinson Operators in Dislocated Metric Spaces, Fractal and Fractional, 7 (12) (2023), 1-21. (Impact factor of the journal 5.4)

T. Nazir, Generalized Hutchinson operator in G-metric spaces via generalized iterated function system, Journal of Nonlinear and Convex Analysis, Volume 24, Number 9 (2023), 1997-2013. (Impact factor of the journal 1.016).

T. Nazir, Z. Ali, S. N. Jogan and M. de la Sen, On a class of fixed points for set contractions on partial metric spaces with a digraph, AIMS Mathematics, 8 (1) (2023), 1304-1328. (Impact factor of the journal 2.739).

V. Makhoshi, M. Khumalo and T. Nazir, Iterated function System of generalized cyclic contractions in partial metric spaces, Journal of Nonlinear and Convex Analysis, Volume 24, Number 9 (2023), 1977-1996. (Impact factor of the journal 1.016).

B. Ali, H. Ali, T. Nazir and Z. Ali, Existence of Fixed Points of Suzuki-Type Contractions of Quasi-Metric Spaces, Mathematics, 11 (21) (2023), 1-13. (Impact Factor of the journal 2.4).

Z. Zhao and T. Nazir, Existence of Common Coupled Fixed Points of Generalized Contractive Mappings in Ordered Multiplicative Metric Spaces, Electronic Journal of Applied Mathematics, 1 (3) (2023), 1-15.

M. Khumalo, T. Nazir and V. Makhoshi, Generalized iterated function system for common attractors in partial metric spaces, AIMS Mathematics, 7 (7) (2022), 13074-13103. (Impact factor of the journal 2.739).

A. Khan, B. Ali, T. Nazir and M. de la Sen, Completeness of metric spaces and existence of best proximity points, AIMS Mathematics, 7 (5) (2022), 7318-7336. (Impact factor of the journal 2.739).

B. Ali, A. Ali, A. Hussain, R. George and T. Nazir, Best proximity points in non-Archimedean fuzzy metric spaces with application to domain of words, AIMS Mathematics, 7 (9) (2022), 16590-16611. (Impact factor of the journal 2.739).

T. Nazir, M. Abbas and S. Silvestrov, Perov type T-contractive mappings on cone b-metric spaces with generalized c-distance, Afrika Mathematika 2208.12575 (2024), 1-23.(Impact factor of the journal 0.8)

T. Nazir, M. Khumalo, V. Makhoshi, Iterated function system of generalized contractions in partial metric spaces, FILOMAT, 35:15 (2021), 201-220. (Impact factor of the journal 0.988).

M. Rafique, T. Nazir, and M. Abbas, Common fixed points of fuzzy set valued contractive mappings on metric spaces with a directed graph, AIMS Mathematics, 7 (2) (2021), 2195-2219. (Impact factor of the journal 1.427).

M. Abbas, T. Nazir and V. Rakocevic, Two Perov type generalized graph contractions, Bulletin of Serbian Academy of Sciences, 46 (2021), 195-216.

A. Kutbi, A. Latif and T. Nazir, Generalized rational contractions in semi metric spaces via iterated function system, RACSAM, Serie A. Matemáticas, Vol. 114:187 (2020), 1-16. (Impact factor of the journal 1.406).

M. Abbas, T. Nazir and V. Rakocevic, Common fixed points of family of multivalued F-contraction mappings on ordered metric spaces, Vietnam Journal of Mathematics, https://doi.org/10.1007/s10013-019-00341-x 48 (1) (2020), 11-21. (Impact factor of the journal 0.375).

K. Ullah, M. Abbas, T. Nazir and H. Ullah, Some convergence results using M* iteration process in Busemann spaces, Canadian Journal of Applied Mathematics, Vol. 2, No. 1 (2020), 81-94.

M. Abbas, T. Nazir and V. Rakočević, Strong coupled fixed points of Perov type contractive mappings via c-distance, Bollettino dell'Unione Matematica Italiana, DOI: 10.1007/s40574-019-00210-y, Volume 13 (2020), 155-168.

M. Abbas, B. Ali, T. Nazir, N.M. Dedovic, B.B. Mohsin, S. Radenovic, Solutions and Ulman-Hyers stability of differential inclusions involving Suzuki type multivalued mappings, Military Technical Courier, Vol. 68, Issue 3 (2020), 438-387.

S. Benchabane, S. Djebali and T. Nazir, Common fixed point results for set-valued integral type contractions on metric spaces with directed graph, European Journal of Pure and Applied Mathematics, Vol. 13 No. 5 (2020), 1072-1087.

A. Latif, T. Nazir and M. Abbas, Fixed point results for multivalued Prešic type weakly contractive mappings, Mathematics, 7:7 (601) (2019), 1-14. (Impact factor of the journal 1.105).

A. Latif, T. Nazir and M.A. Kutbi, Common fixed point results for class of set-contraction mappings endowed with a directed graph, RACSAM, Serie A. Matemáticas, Volume 113, Issue 4, (2019), 3207-3222. (Impact factor of the journal 1.406).

S. Benchabane, S. Djebali and T. Nazir, Common fixed point results for set-valued integral type rational contractions on semi-metric spaces with directed graph, Canadian Journal of Applied Mathematics, Vol. 1, No. 1 (2019), 15-31.

A. Latif and T. Nazir, Common fixed point for generalized contraction mappings in generalized metric spaces, Journal of Nonlinear and Convex Analysis, Volume 19, Number 7, (2018) 1275-1285 (Impact factor of the journal 0.642).

M. Abbas, T. Nazir and V. Rakocevic, Common fixed points results of multivalued Perov type contractions on cone metric spaces with a directed graph, Bulletin of the Belgian Mathematical Society-- Simon Stevin, Vol. 25, No. 3 (2018), 331-354. (Impact factor of the journal 0.48).

J. Ahmad, A.S. Al-Rawashdeh, T. Nazir, V. Parvaneh, and M. De la Sen, Nonlinear operators in fixed point theory with applications to fractional differential and integral equations, Journal of Function Spaces, Vol. 2018, Article ID 7327354, (2018) https://doi.org/10.1155/2018/7327354. (Impact factor of the journal 0.639).

A. Latif, T. Nazir and M. Abbas, Stability of fixed points in generalized metric spaces, Journal of Nonlinear and Variational Analysis, DOI: 10.23952/jnva.2.2018.3.04, Vol. 2, No. 3 (2018), 113-120.

M. Abbas, T. Nazir, B. Popovic and S. Radenovic, On weakly commuting set-valued mappings on a domain of sets endowed with directed graph, Results in Mathematics, https://doi.org/10.1007/s00025-016-0588-x 71 (2017), 1277-1295. (Impact factor of the journal 0.768).

M. Abbas, T. Nazir, T. A. Lampert and S. Radenovic, Common fixed points of set-valued F-contraction mappings on domain of sets endowed with directed graph, Computational and Applied Mathematics, https://doi.org/10.1007/s40314-016-0314-z Volume 36, Issue 4 (2017), 1607-1622. (Impact factor of the journal 0.473).

T. Nazir and S. Silvestrov, Common fixed point and periodic point results in multiplicative metric spaces, Waves, Wavelets and Fractals Advanced Analysis, https://doi.org/10.1515/wwfaa-2017-0006 3 (2017), 61-74.

H. Khan, M. Abbas and T. Nazir, Existence and approximation results for SKC mappings in Busemann spaces, Waves, Wavelets and Fractals Advanced Analysis, DOI: https://doi.org/10.1515/wwfaa-2017-0005 3 (1) (2017), 48-60.

T. Nazir, S. Silvestrov and M. Abbas, Fractals of generalized F−Hutchinson operator, Waves, Wavelets and Fractals, Advanced Analysis, DOI: https://doi.org/10.1515/wwfaa-2016-0004 2 (2016), 29-40.

T. Nazir, S. Silvestrov and M. Abbas, Common fixed point results of four mappings in ordered partial metric spaces, Waves, Wavelets and Fractals Advanced Analysis, DOI: https://doi.org/10.1515/wwfaa-2016-0006 2 (2016), 46-63.

M. Abbas, M. Berzig, T. Nazir and E. Karapinar, Iterative approximation of fixed points for Prešić type F-contraction operators, Scientific Bulletin University Politehnica of Bucharest: Series A Applied Mathematics and Physics, 78 (2) (2016), 147-160. (Impact factor of the journal 0.405).

M. Abbas, M. R. Alfuraidan and T. Nazir, Common fixed points of multivalued F-contractions on metric spaces with a directed graph, Carpathian Journal of Mathematics, 32 (1) (2016), 1-12. (Impact factor of the journal 0.792).

T. Nazir, S. Silvestrov and X. Qi, Fractals of generalized F­-Hutchinson operator in b-metric spaces, Journal of Operators, https://doi.org/10.1155/2016/5250394 Volume 2016, Article ID 5250394 (2016), 9 pages.

M. Abbas, J. K. Kim and T. Nazir, Common fixed point of mappings satisfying almost generalized contractive condition in partially ordered G- metric spaces, Journal of Computational Analysis and Applications, 19 (6) (2015), 928-938. (Impact factor of the journal 0.481).

M. Abbas, M. R. Alfuraidan, A. R. Khan and T. Nazir, Fixed point results for set-contractions on metric spaces with a directed graph, Fixed Point Theory and Applications, https://doi.org/10.1186/s13663-015-0263-z 2015:14 (2015), 09 pages. (Impact factor of the journal 2.503).

M. Abbas, D. Illic and T. Nazir, Iterative approximation of fixed points of generalized weak Presic type k-step iterative method for a class of operators, FILOMAT, DOI: 10.2298/FIL1504713A 29 (4) (2015), 713-724. (Impact factor of the journal 0.638).

D. Illic, M. Abbas and T. Nazir, Iterative approximation of fixed points of Prešić operators on partial metric spaces, Mathematische Nachrichten, https://doi.org/10.1002/mana.201400235 Vol. 288 Issue 14-15 (2015), 1634-1646. (Impact factor of the journal 0.683).

M. Abbas, M. De la Sen and T. Nazir, Common fixed points of generalized rational type cocyclic mappings in multiplicative metric spaces, Discrete Dynamics in Nature and Society, https://doi.org/10.1155/2015/532725 Vol. 2015, Article ID 532725 (2015), 10 pages. (Impact factor of the journal 0.877).

M. Abbas, M. De la Sen and T. Nazir, Common fixed points of generalized cocyclic mappings in complex valued metric spaces, Discrete Dynamics in Nature and Society, https://doi.org/10.1155/2015/147303 Volume 2015, Article ID 147303 (2015), 11 pages. (Impact factor of the journal 0.877).

M. Abbas, T. Nazir and D. Gopal, Common fixed point results for generalized cyclic contraction mappings, Afrika Matematika, https://doi.org/10.1007/s13370-013-0206-y 26 (2015), 265-273.

M. Abbas, V. C. Rajic, T. Nazir and S. Radenovic, Common fixed point of mappings satisfying rational inequalities in ordered complex valued generalized metric spaces, Afrika Matematika, https://doi.org/10.1007/s13370-013-0185-z 26 (2015), 17-30.

M. Abbas, W. Shatanawi and T. Nazir, Common coupled coincidence and coupled fixed point of C-contractive mappings in generalized metric spaces, Thai Journal of Mathematics, 13 (2) (2015), 337-351.

T. Nazir and M. Abbas, Common fixed points of two pairs of mappings satisfying (E.A)-property in partial metric spaces, Journal of Inequalities and Applications, https://doi.org/10.1186/1029-242X-2014-237 Volume 237 (1) (2014), 12 pages. (Impact factor of the journal 0.82).

H. Khan, M. Abbas and T. Nazir, Fixed point results for generalized Chatterjea type contractive conditions in partially ordered G- metric spaces, The Scientific World Journal, https://doi.org/10.1155/2014/341751 Volume 2014, Article ID 341751, (2014), 8 pages. (Impact factor of the journal 1.73).

A.R. Khan, M. Abbas, T. Nazir and C. Ionescu, Fixed points of multivalued contractive mappings in partial metric spaces, Abstract and Applied Analysis, https://doi.org/10.1155/2014/230708 Volume 2014, Article ID 230708 (2014), 9 pages. (Impact factor of the journal 1.102).

M. Abbas and T. Nazir, Fixed points of T- Hardy Rogers type contraction mapping in G- metric spaces, Afrika Matematika, https://doi.org/10.1007/s13370-012-0104-8 25 (1) (2014), 103-113.

M. Abbas and T. Nazir, A new faster iteration process applied to constrained minimization and feasibility problems, Mathematicki Vesnik, 66 (2) (2014), 223-234.

T. Nazir and M. Abbas, Common fixed points of Presić type contraction mappings in partial metric spaces, Journal of Nonlinear Analysis and Optimization: Theory & Applications, 5 (1) (2014), 49-55.

M. Abbas and T. Nazir, Common fixed point of power graphic contraction pair in partial metric spaces endowed with a graph, Fixed Point Theory and Applications, https://doi.org/10.1186/1687-1812-2013-20 Volume 20 (2013), 8 pages. (Impact factor of the journal 2.486).

M. Abbas, T. Nazir and S. Radenovic, Common fixed point of power contraction mappings satisfying (E.A)-property in generalized metric spaces, Applied Mathematics and Computations, https://doi.org/10.1016/j.amc.2012.12.090 Vol. 219 (14) (2013), 7663-7670. (Impact factor of the journal 1.6).

M. Abbas, T. Nazir and S. Radenovic, Common coupled fixed points of generalized contractive mappings in partially ordered metric spaces, Positivity, https://doi.org/10.1007/s11117-012-0219-z Vol. 17 (2013), 1021-1041. (Impact factor of the journal 0.682).

M. Abbas, T. Nazir and B. E. Rhoades, Fixed points of multivalued mapping satisfying Ciric type contractive conditions in G- metric spaces, Hacettepe Journal of Mathematics and Statistics, 42 (1) (2013), 21-29. (Impact factor of the journal 0.433).

M. Abbas, T. Nazir and H. Aydi, Fixed points of generalized graphic contraction mappings in partial metric spaces endowed with a graph, Journal of Advanced Mathematical Studies, 6 (2) (2013), 130-139.

M. Abbas and T. Nazir, Fixed point of generalized weakly contractive mappings in ordered partial metric spaces, Fixed Point Theory and Applications, 2012:1 (2012), 19 pages. (Impact factor of the journal 2.49).

M. Abbas, T. Nazir and D. Doric, Common fixed point of mappings satisfying (E.A) property in generalized metric spaces, Applied Mathematics and Computation, 218 (14) (2012), 7665-7670. (Impact factor of the journal 1.349).

M. Abbas, T. Nazir and S. Radenovic, Common fixed point of generalized weakly contractive maps in partially ordered G- metric spaces, Applied Mathematics and Computation, 218 (18) (2012), 9383-9395. (Impact factor of the journal 1.349).

M. Abbas, T. Nazir and S. Romaguera, Fixed point results for generalized cyclic contraction mappings in partial metric spaces, RACSAM, Serie A. Matemáticas, 106 (2) (2012), 287-297. (Impact factor of the journal 0.733).

M. Abbas, T. Nazir, W. Shatanawi and Z. Mustafa, Fixed and related fixed point theorems for three maps in G- Metric Spaces, Hacettepe Journal of Mathematics and Statistics, 41 (2) (2012), 291-306. (Impact factor of the journal 0.385).

W. Long, M. Abbas, T. Nazir and S. Radenovic, Common fixed point for two pairs of mappings satisfying (E.A)- property in generalized metric spaces, Abstract and Applied Analysis, Volume 2012, Article ID 394830, 15 pages. (Impact factor of the journal 1.102).

M. Abbas, Y. J. Cho and T. Nazir, Common fixed points of Ćirić-type contractive mappings in two ordered generalized metric spaces, Fixed Point Theory and Applications, 2012:139 (2012), 17 pages (Impact factor of the journal 2.49).

M. Abbas, A. R. Khan and T. Nazir, Common fixed point of multivalued mappings in ordered generalized metric spaces, FILOMAT, 26 (5) (2012), 1045-1053. (Impact factor of the journal 0.714).

I. Beg, M. Abbas and T. Nazir, Common fixed point results for non-commuting mappings in generalized cone metric spaces, Nonlinear Functional Analysis and Applications, 17 (1) (2012), 57-70.

M. Abbas, B. Fisher and T. Nazir, Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Scientific Studies and Research Series Mathematics and Informatics, 22 (1) (2012), 5-24.

M. Abbas, T. Nazir and R. Saadati, Common fixed point results for three maps in generalized metric space, Advances in Difference Equations, 2011:49 (2011), 20 pages. (Impact factor of the journal 0.845).

M. Abbas, T. Nazir and S. Radenovic, Common fixed points of four maps in partially ordered metric spaces, Applied Mathematics Letters, 24 (9) (2011), 1520-1526. (Impact factor of the journal 1.371).

M. Abbas, T. Nazir and P. Vetro, Common fixed points results for three maps in G- metric spaces, FILOMAT, 25:4 (2011), 1-17. (Impact factor of the journal 0.421).

M. Abbas, A. R. Khan and T. Nazir, Coupled common fixed point results in two generalized metric spaces, Applied Mathematics and Computation, 217 (13) (2011), 6328-6336. (Impact factor of the journal 1.317).

W. Shatanawi, M. Abbas and T. Nazir, Common coupled coincidence and coupled fixed point results in two generalized metric spaces, Fixed Point Theory and Applications, 2011:80 (2011), 13 pages. (Impact factor of the journal 1.634).

M. Abbas, S. H. Khan and T. Nazir, Common fixed points of R- weakly commuting maps in generalized metric spaces, Fixed Point Theory and Applications, 2011:41 (2011), 11 pages. (Impact factor of the journal 1.634).

M. Abbas, Y. J. Cho and T. Nazir, Common fixed point theorems for four mappings in TVS- valued cone metric spaces, Journal of Mathematical Inequalities, 5 (2) (2011), 287-299.

I. Beg, M. Abbas and T. Nazir, Fixed point results in generalized cone metric spaces, Acta Universitatis Apulensis, 28 (2011), 215-232.

M. Abbas, T. Nazir and S. Radenovic, Some periodic point results in generalized metric spaces, Applied Mathematics and Computation, 217 (8) (2010), 4094-4099. (Impact factor of the journal 1.536).

M. Abbas, B. E. Rhoades and T. Nazir, Common fixed points for four maps in cone metric spaces, Applied Mathematics and Computation, 216 (1) (2010), 80-86. (Impact factor of the journal 1.536).

I. Beg, M. Abbas and T. Nazir, Generalized cone metric spaces, Journal of Nonlinear Science and Applications, 3 (1) (2010), 21-31.

I. Beg, M. Abbas and T. Nazir, Common fixed point results in G- cone metric spaces, Journal of Advanced Research in Pure Mathematics, 2 (4) (2010), 94-109.

M. Abbas, B. E. Rhoades and T. Nazir, Common fixed points of generalized contractive multivalued mappings in cone metric spaces, Mathematical Communications, 14 (2) (2009), 365-378. (Impact factor of the journal 0.176).

Paper presentations

Conference Proceeding Publications:

  1. T. Nazir and S. Silvestrov, Fixed Point Results of Generalized Cyclic Contractive Mappings in Multiplicative Metric Spaces (Conference paper), Malyarenko et al. (eds.), Stochastic Processes, Statistical Methods, and Engineering Mathematics, International Conference on Stochastic Processes and Algebraic Structures, Springer Proceedings in Mathematics & Statistics, Volume 408, Springer, Cham https://doi.org/10.1007/978-3-031-17820-7_15, (2023), 325-341.
  2. T. Nazir and S. Silvestrov, Fixed Points of T-Hardy Rogers type Mappings and Coupled Fixed Point Results in Multiplicative Metric Spaces (Conference paper), Malyarenko et al. (eds.), Stochastic Processes, Statistical Methods, and Engineering Mathematics, International Conference on Stochastic Processes and Algebraic Structures, Springer Proceedings in Mathematics & Statistics, Volume 408, Springer, Cham. https://doi.org/10.1007/978-3-031-17820-7_16, (2023), 343-365.
  3. T. Nazir and S. Silvestrov, Some Periodic Point and Fixed Point Results in Multiplicative Metric Spaces (Conference paper), Malyarenko et al. (eds.), Stochastic Processes, Statistical Methods, and Engineering Mathematics, International Conference on Stochastic Processes and Algebraic Structures, Springer Proceedings in Mathematics & Statistics, Volume 408, Springer, Cham. https://doi.org/10.1007/978-3-031-17820-7_17, (2023), 367-382.
  4. T. Nazir and S. A. Awan, Estimated Zones of Saint-Venant Equations for Flood Routing with Over Bank Unsteady Flow in Open Channel, Special Issue NUML, International Journal of Innovations in Science & Technology, Volume 3, No. 4 (2021), 96-109.
  5. T. Nazir and S. Silvestrov, Common Fixed Point for Integral Type Contractive Mappings in Multiplicative Metric Spaces (Conference paper), S. Silvestrov and M. Rančić (Eds.) Algebraic Structures and Applications, Springer Nature Switzerland AG, 959 pages, ISBN: 978-3-030-41849-6 Ch 30 Volume 317, (2020), Pages 723-741.
  6. T. Nazir and S. Silvestrov, Cyclic Contractions and Common Fixed Point Results of Integral Type Contractions in Multiplicative Metric Spaces (Conference paper), (Book Chapter 31), S. Silvestrov and M. Rančić (Eds.) Algebraic Structures and Applications, Springer Nature Switzerland AG, 959 pages, ISBN: 978-3-030-41849-6, Ch31 Volume 317 (2020), Pages 743-759.
  7. T. Nazir, Comparison of Water Flows between Various Channels under Different Circumstances, IEEE Xplore, 2019 International Conference on Frontiers of Information Technology (FIT), DOI:10.1109/FIT47737.2019.00020 (2019), Pages: 55 – 555.
  8. T. Nazir, S. A. Awan and B. N. Khattak, Numerical Modeling of One Dimensional Unsteady Flow in Parabolic 12Channel, IEEE Xplore, 2019 International Conference on Frontiers of Information Technology (FIT), DOI: 10.1109/FIT47737.2019.00021 (2019), Pages: 61 – 613.
  1. T. Nazir, The Control of Various Channels Water Flows, IEEE Xplore, 2018 International Conference on Frontiers of Information Technology (FIT), DOI: 10.1109/FIT.2018.00066, (2018), Pages: 339 – 344.
  2. X. Qi, S. Sergei and T. Nazir, Data classification with support vector machine and generalized support vector machine, AIP Conference Proceedings, Volume 1798, 020126 DOI: http://dx.doi.org /10.1063/1.4972718, (2017), 10 pages.
  3. T. Nazir, X. Qi and S. Silvestrov, Linear Classification of Data with Support Vector Machines and Generalized Support Vector Machines (Conference paper), S. Silvestrov and M. Rančić (Eds.), Engineering Mathematics II, Springer Proceedings in Mathematics & Statistics, ISBN: 978-3-319-42104-9, Volume 179 (2017), Pages 355-375.
    1. T. Nazir, X. Qi and S. Silvestrov, Linear and Nonlinear Classifiers of Data with Support Vector Machines and Generalized Support Vector Machines (Conference paper), S. Silvestrov and M. Rančić (Eds.), Engineering Mathematics II, Springer Proceedings in Mathematics & Statistics, ISBN: 978-3-319-42104-9, Volume 179 (2017), Pages 377-396.
    2. T. Nazir and S. Silvestrov, Common Fixed Points of Weakly Commuting Multivalued Mappings on a Domain of Sets Endowed with Directed Graph (Conference paper), S. Silvestrov and M. Rančić (Eds.), Engineering Mathematics II, Springer Proceedings in Mathematics & Statistics, ISBN: 978-3-319-42104-9, Volume 179 (2017), Pages 397-417.
    3. T. Nazir and S. Silvestrov, Common Fixed Point Results for Family of Generalized Multivalued F-Contraction Mappings in Ordered Metric Spaces (Conference paper), S. Silvestrov and M. Rančić (Eds.), Engineering Mathematics II, Springer Proceedings in Mathematics & Statistics, ISBN: 978-3-319-42104-9, Volume 179 (2017), Pages 419-432.

Paper Presentations:

  1. Delivered a talk as keynote speaker in 2nd International Symposium on Recent Trends in Mathematical Analysis with Applications, University of Management and Technology, Lahore, Pakistan, held on June 12, 2024 on the topic “Some New Ways for Artificial Intelligence Data Classification via Generalized Support Vector Machines”.
  2. Delivered a talk in Research Seminar held on June 12, 2024 in Department of Mathematical Sciences, University of South Africa, on the topic “Generalized Support Vector Machine Algorithms for Data Classification in Machine Learning”.
  3. Delivered an invited talk in 6th International Conference on Pure and Applied Mathematics (7thUICPAM-2023) at Department of Mathematics, University of Sargodha, Sargodha, Pakistan held on December 06-07, 2023 on the topic “Common Attractors of Finite Family of Generalized Iterated Function Systems”.
  4. Delivered a talk in IWA 8TH International Water Association Specialist Conference on Natural Organic Matter (Nom8) organized by University of South Africa held on 3 – 6 December 2023 on the topic “Inverse Flood Routing in Open Channel Water Flow by using Saint Venant Equations”.
  5. Delivered an invited talk in 7th UMT International Conference on Pure and Applied Mathematics (7thUICPAM-2023) at Department of Mathematics, University of Management and Technology, Lahore, Pakistan held on December 04-05, 2023 on the topic “Some New Ways for Generating Fractals via Iterated Functions Systems and its Applications”.
  6. Delivered a talk in “Recent Trends in Optimization and Control: Short Course and Workshop” at University of Pretoria, South Africa held on September 18–22, 2023 on the topic “Extension of optimization problems”.
  7. Delivered an invited talk in Research Seminar held on September 13, 2023 in Tshwane University of Technology, Pretoria, South Africa, on the topic “Solutions of Fixed Point Problems and its Applications”.
  8. Delivered a talk in “Functional Analysis and Operator Theory South Africa (FAOTSA) workshop at WITS Rural Facility in Limpopo, South Africa” held on May 03-07, 2023 on the topic “Iterated Function Systems and its Applications in Functional Analysis and Operator Theory”.
  9. Delivered a talk in “Department of Mathematical Sciences and Astronomy Seminar, University of South Africa” held on May 09, 2023 organized by University of South Africa, on the topic “Solutions of Fixed Point Problems and its Applications”.
  10. Delivered an invited talk in the “One Day International Seminar on Metric Spaces and Fixed-point Theory (online)” held on January 27, 2023 organized by Department of Mathematics, Assam Don Bosco University, India, on the topic “Metric Fixed Point Theory and its Applications”.
  11. Delivered an invited talk in the “Research Event” held on December 18, 2022 organized by School of Mathematics, Iran University of Science and Technology, Iran, on the topic “Iterated Function System for Generating Fractals and its Applications”.
  12. Delivered a talk in “65th Annual South African Mathematical Society (SAMS) Congress” held on December 06-08, 2022 organized by Stellenbosch University, South Africa, on the topic “Iterated function system of generalized cyclic contractive operators”.
  13. Delivered an invited talk in “2022 International Conference on Applied Mathematics, Informatics, and Computing Sciences (AMICS 2022)” held on December 5-7, 2022 organized by Bosen Academic Research Institute, China, on the topic “Iterated Function System of Generalized Hutchinson Operators for Global Fractals”.
  14. Delivered an invited talk in “International Conference on Nonlinear Analysis and Applications-2022 (ICNAA-2022)”, held on 22-23 November, 2022 in Assam Don Bosco University, Assam, India, on the topic “Common Attractors of G-Iterated Function Systems in G-metric Spaces”.
  15. Delivered an invited talk in “Two Days International Conference on Mathematical Modeling and Scientific Computing for Industrial Research”, held on November 07-08, 2022 in Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan, on the topic “Mathematical Modelling of Fractals via Iterated Function Systems”.
  16. Delivered a talk in “TACT2022 International Conference on Topology, Algebra, and Category Theory” held on September 19-22, 2022 in University of South Africa, in South Africa, on the topic “Generalized Topological Iterated Function System for Construction of Fractals”.
  17. Delivered an invited talk in Research Seminar held on September 01, 2022 in University of Venda, South Africa, on the topic “Fixed Point Problems and its Applications”.
  18. Delivered an invited talk in Research Seminar held on August 30, 2022 in University of Venda, South Africa, on the topic “Generalized Iterated Function System for Constructing Global Fractals”.
  19. Delivered an invited talk in Research Seminar held on July 05, 2021 in University of South Africa, in South Africa on the topic “Iterated Function System and its Applications”.
  20. Delivered an invited talk in “International Conference on Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications – CaCNAS: FA 2021” held on June 30 to July 02, 2021 in University of Naš, Serbia, on the topic “Iterated Function System of Generalized Contractive Mappings”.
  21. Chair and Presented a paper in “17th International Conference on Frontiers of Information Technology (Water Informatics)” held on December 16-18, 2019 in COMSATS University Islamabad, Pakistan, on the topic “Comparison of Water Flows between Various Channels under Different Circumstances”.
  22. Delivered an invited talk in “2019 International Conference on Mathematics and its Applications” held on December 02, 2019 in Government College University, Lahore, Pakistan, on the topic “Generalized Rational Contractions in Semi Metric Spaces via Iterated Function System”.
  23. Delivered a Lecture in Seminar held on October 10, 2019 at Mälardalen University, Västerås, Sweden, on the topic “Iterated Function Systems and the Global Construction of Fractals”.
  24. Delivered a Lecture in Seminar held on October 08, 2019 at Mälardalen University, Västerås, Sweden, on the topic “Fixed Point Theory and its Applications”.
  25. Presented a paper in International Conference “Stochastic Processes and Algebraic Structures - From Theory towards Applications (SPAS 2019)” held on September 30 – October 02, 2019 at Mälardalen University, Västerås, Sweden, on the topic “Common Fixed Point Results for Perov type Weakly Commuting Maps in Cone Metric Spaces”.
  26. Delivered a lecture in “Conference on Applied Mathematics” held on August 19-20, 2019 in Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, Lahore, Pakistan on the topic “Fractals of Generalized Iterated Function Systems and Its Applications”.
  27. Delivered an invited talk and Instructor in “Workshop on Latex” held on August 02, 2019 in University of Management and Technology, Lahore, Pakistan.
  28. Delivered a Key Note Address Lecture in Department of Information Technology, University of Haripur, Haripur, Pakistan, on April 05, 2019 on the topic “Role of SVM (Support Vector Machine) In IT Emerging Technologies”.
  29. Delivered an invited talk in Department of Mathematics, Huanghuai University, Zhumadian, Henan, China on February 28, 2019 on the topic “Control of Various Channels Water Flows”.
  30. Delivered an invited talk in “4th International Conference on Pure and Applied Mathematics” held on December 21-22, 2018 in University of Sargodha, Sargodha, Pakistan, on the topic “Fractals of Generalized Hutchinson Operators and Iterated Function Systems with Applications”.
  31. Delivered a talk in “16th International Conference on Frontiers of Information Technology (Water Informatics)” held on December 17-19, 2018 in COMSATS University Islamabad, Pakistan, on the topic “Control of Various Channel Water Flows”.
  32. Delivered an invited talk in “International Workshop on Nonlinear Analysis and its Applications” held on November 16-18, 2018 in University of Management and Technology, Lahore, Pakistan, on the topic “Iterated Function Systems and Global Construction of Fractals”.
  33. Delivered an invited talk in “International Conference on Mathematics and Its Applications 2018” held on November 13-15, 2018 in Government College University, Lahore, Pakistan, on the topic “Fractals of Generalized Hutchinson Operators in Semi Metric Spaces”.
  34. Delivered an invited talk in “2018 One Day Workshop on Nonlinear Analysis and its Applications” held on July 17, 2018 in Government College University, Lahore, Pakistan, on the topic “Support Vector Machine for Nonlinear Data Classifications”.
  35. Delivered a talk in “2018 National Conference on Mathematics and Applications” held on April 09-10, 2018 in University of Sargodha, Sargodha, Pakistan, on the topic “Support Vector Machine and Generalized Support Vector Machine for Data Classification”.
  36. Delivered a talk in “Conference on Recent Advances in Mathematical Methods, Models & Applications” held on April 07-08, 2018 in Lahore School of Economics, Lahore, Pakistan, on the topic “Fractals with Iterated Function System and its Applications”.
  37. Delivered an invited lecture in Department of Mathematics, Huanghuai University, Zhumadian, Henan, China on Dec 18-20, 2017 on the topic “Fixed Point Problems, Iterated Function Systems and Fractals of Contracted Operators”.
  38. Delivered a talk in “2017 International Conference on Mathematics and its Applications” held on Nov 13-15, 2017 in Government College University, Lahore, Pakistan, on the topic “Iterated Function System and Fractals of Iterated Contracted Operators”.
  39. Delivered a talk in “Symposium on Computational Complexities, Innovations and Solutions” held on May 9-10, 2016 in COMSATS University Islamabad, Abbottabad Campus, Pakistan, on the topic “Iterated Function System and Fractals of generalized F−Hutchinson operator”.
  40. Delivered a lecture in “1st Vasteras-Tartu Swedish-Estonian Workshop on Algebra, Geometry and Engineering Mathematics” held on June 01-02, 2015 in Mälardalen University, Västerås, Sweden, on the topic “Common Fixed Points of Weakly Commuting Set-valued Contractive Operators”.
  41. Delivered a lecture in “Higher seminars in the subject Mathematics/Applied Mathematics, Spring term 2015” held on April 01, 2015 in Mälardalen University, Västerås, Sweden, on the topic “Common Fixed Point Theorem for Commuting Maps”.
  42. Delivered a lecture in “National Workshop on Applied Nonlinear Analysis” held on December 12-13, 2014 in Lahore University of Management Sciences, Pakistan, on the topic “Solutions of some General Problems in Variational Inequalities and Generalized Equilibrium with Applications”.
  43. Delivered a talk in EURANDOM Workshop “Stochastic Optimization and Online Learning” held on March 28-28, 2014 in Technical University Eindhoven, The Netherlands, on the topic “Iterative Processes of Stochastic Approximation Method for Fixed Point Problems”.
  44. Presented a paper in International Conference “Anatolian Communications in Nonlinear Analysis” held on July 03-06, 2013 in Abant Izzet Baysal University, Bolu, Turkey, on the topic “Common Fixed Points of Two Pairs of Mappings Satisfying (E.A) Property in Partial Metric Spaces”.
  45. Presented a paper in International Conference “7th International Conference on Fixed Point Theory and Optimization” held on July 18-20, 2013 in Kasetsart University, Kamphaeng Saen Campus, Nakhon Pathom Province, Thailand, on the topic “Common Fixed Point of Presic Type Contraction Mappings in Partial Metric Spaces”.
  46. Delivered a talk in “Symposium on Computational Complexities, Innovations and Solutions” held on May 27-28, 2013 in COMSATS Institute of Information Technology, Abbottabad, Pakistan, on the topic “Existence the Solutions of Operator Equations”.
  47. Presented a talk in “Conference on Recent Advances in Mathematical Methods, Models & Applications” held on April 13-14, 2013 in Regional Centre, Higher Education Commission Lahore Campus, Pakistan, on the topic “Matching Problems, Stability and Stable Matching”.
  48. Presented a paper in “Two days international Mathematical Conference” in International Islamic University, Islamabad, Pakistan held on October 19-20, 2012 on the topic of “A New Faster Iterative Algorithm Applied to Constrained Minimization and Feasibility Problems”.
  49. Presented a talk in conference “Recent Advances in Mathematical Methods, Models and Applications” held on April 16-17, 2011 in Lahore University of Management Sciences (LUMS), Pakistan, on the topic “Matching Theorems, Stability, Fantasy and Stable Matching as Fixed Point”.
  50. Presented a talk in the “Winter Conference Dec 30-31, 2010” at Lahore University of Management Sciences (LUMS), Pakistan, on the topic of “On Existence of Solution of Nonlinear Complementarity Problems”.
  51. Presented a talk in the “Winter Conference, December 30-31, 2009” at Lahore University of Management Sciences (LUMS), Pakistan on the topic of “Generalized Cone Metric Spaces”.

Professional positions, fellowships & awards

  • Excellence Award for scholarship in Teaching and Learning 2023 by University of South Africa.
  • Excellence Award for Innovation in Tuition 2022 by University of South Africa.
  • Best Researcher Award 2020 by COMSATS University Islamabad, Abbottabad Campus, Pakistan.
  • Best Researcher Award 2019 by COMSATS University Islamabad, Abbottabad Campus, Pakistan.
  • Best Performance Award 2018 and Honorarium by COMSATS University Islamabad, Abbottabad Campus, Pakistan.
  • Best Researcher Award 2017 by COMSATS University Islamabad, Abbottabad Campus, Pakistan.
  • Research Productivity Award 2016 by COMSATS University Islamabad, Pakistan.
  • Best Performance Award 2015 and Honorarium by COMSATS University Islamabad, Abbottabad Campus, Pakistan.
  • Research Productivity Award 2014 by COMSATS University Islamabad, Pakistan.
  • Research Productivity Award (2013-2014) by Pakistan Council of Science and Technology, Government of Pakistan.
  • Research Productivity Award 2013 by COMSATS University Islamabad, Pakistan.
  • Research Productivity Award (2012-2013) by Pakistan Council of Science and Technology, Government of Pakistan.
  • Merit Scholarship for Post-Doctorate Fellowship (2013-2014) by European Union.
  • Merit Scholarship for MS to PhD study (2007-2012) from Lahore University of Management Sciences (LUMS), Lahore, Pakistan.

Projects

  1. Project titled “Control of open channel water flow and detecting leaks and dumps”, sponsored by National Research Program for Universities, Higher Education Commission, Federal Government of Pakistan (2017-2019). Research grant number 5398/Federal/NRPU /R&D/HEC/2016 (1.93 Million PKR). Role in Project: Principal Investigator
  2. Project titled “Convergence of Iterative Algorithms of Nonlinear Operators with Applications”, sponsored by National Research Program for Universities, Higher Education Commission, Federal Government of Pakistan (2019-2021). Research grant number 9340/Federal/NRPU /R&D/HEC/2019 (2.27 Million PKR). Role in Project: Co-Principal Investigator
  3. Project titled “Iterated Function Systems of Generalized Rational Contractive Mappings in Semi Metric Spaces”, sponsored by Deanship of Scientific Research, King Abdulaziz University, Ministry of Higher Education, Kingdom Of Saudi Arabia (2019-2020). Role in Project: Project Consultant
  4. Project titled “Study on Mosquito Population Suppression Strategies Based on Wolbachia under Heterogeneous Environment”, Sponsored: Henan Province, Government of China (2023-2024). Role in Project: Distinguished Foreign Expert

Other

Editorialship for Journals

  • Editorial Board Member “International Journal of Systems Science and Applied Mathematics” Science Publishing Group, 548 Fashion Avenue New York, NY 10018, U.S.A.
  • Associate Editor of journal Frontiers in Applied Mathematics and Statistics (ISSN: 2297-4687) Frontiers Media S.A., Switzerland.
  • Editorial Board Member of journal Applications of Mathematical Sciences (ISSN (E): 2976-7253), Society of Management Research and Consultancy, UK.
  • Editor: International Journal of Emerging Multi-disciplinaries: Mathematics (IJEMD-M), ISSN: 2790-3257, Publishing House International Enterprise.
  • Member Editorial Board “SBK Journal of Basic Sciences and Innovative Research” ISSN: 2789-813X, SBK Women's University, Pakistan.
  • Guest Editor, Special Issue “New Advances in Mathematical Analysis and Functional Analysis”, Mathematics, MDPI, Switzerland (Impact Factor: 2.4).
  • Guest Editor, Special Issue “Nonlinear Fractional Differential Equation and Fixed-Point Theory”, Fractal and Fractional, MDPI, Switzerland (Impact Factor: 5.4).
  • Guest Editor, Special Issues “Nonlinear Operators in Fixed Point Theory with Applications to Fractional Differential and Integral Equations”, Journal of Function Spaces, Hindawi Publishing Corporation, USA.
  • Editorial Board Member of journal Finance and Market (ISSN: 2424-8401) Universe Scientific Publishing Pte. Ltd, Singapore.

Links to:

Membership of Professional Societies:

  • American Mathematical Society (AMS), USA.
  • International Association of Engineers (IAENG), UK.
  • Engineering and Scientific Research Group (ESR), France.
  • Member: South African Mathematical Society (SAMS), South Arica.
  • Professional Scientist Mathematics, South African Council for Natural Scientific Professions (SACNASP), South Arica.
  • Member: Actuarial Society of South Africa (ASSA), South Africa.