Muhammad Aqeel Ahmad Khan
Associate Professor
PhD Fixed Point Theory and Applications
Research Supervision Capacity
About Me
I obtained my PhD in 2014 from the Department of Mathematics at the Islamia University of Bahawalpur, under the supervision of Prof. Dr. Hafiz Fukhar-ud-din. My doctoral studies were funded by the Indigenous PhD Fellowship awarded by the Higher Education Commission (HEC) of Pakistan. During my PhD, I visited Technische Universität Darmstadt, Germany, under the International Research Support Initiative Program (IRSIP) of HEC.
From September 2014 to August 2015, I served as an Assistant Professor of Mathematics at the Department of Mathematics, Government College University Faisalabad. From September 2015 to February 2023, I worked as an Assistant Professor (TTS) at the Department of Mathematics, COMSATS University Islamabad, Lahore Campus. Since March 2023, I have been serving as an Associate Professor at the Department of Mathematics, the Islamia University of Bahawalpur.
Research Interest Keywords
Contact Info
Research Publication
1. Arfat, Yasir and Iyiola, Olaniyi S. and Wickramasinghe, Madushi and Kumam, Poom and Khan, Muhammad Aqeel Ahmad. 2026. “An inertia based viscosity type regularized splitting scheme for finding common solutions of split monotone variational inclusion and fixed point problems.” Springer Science and Business Media LLC 0. https://doi.org/10.1007/s10479-026-07139-4
2. Arfat, Yasir and Grad, Sorin-Mihai and Tammer, Christiane and Kumam, Poom and Aqeel Ahmad Khan, Muhammad. 2026. “Solving split monotone variational inclusion problems via a relaxed-inertial self-adaptive regularized splitting algorithm.” Springer Science and Business Media LLC 0. https://doi.org/10.1007/s11075-026-02344-5
3. Abbas, Athar and Komal, Somayya and Fukhar-ud-din, Hafiz and Khan, Muhammad Aqeel Ahmad and Khan, Muhammad Jabir and. 2026. “A novel modified one-step iterative method for common fixed points of three nonexpansive mappings.” American Institute of Mathematical Sciences (AIMS) 11. 10.3934/math.2026496
4. A. Abbas, H. Fukhar-ud-din and M.A.A. Khan. 2025. “An iterative viscosity method for mixed equilibrium and fixed point problems in a Hadamard space, .” J. Nonlinear Convex Anal., 0. http://www.yokohamapublishers.jp/online2/jncav26-11.html
5. Arfat, Yasir and Kumam, Poom and Khan, Muhammad Aqeel Ahmad and Seangwattana, Thidaporn and Iqbal, Zaffar. 2024. “Some variants of the hybrid extragradient algorithm in Hilbert spaces.” Springer Science and Business Media LLC 2024. https://doi.org/10.1186/s13660-023-03052-7
6. Y. Arfat, Y.J. Cho, P. Kumam, K. Sitthithakerngkiet and M. A. A. Khan. 2024. “Convex Minimization over the Split Common Fixed Point Problems via a Hybrid Steepest-Descent Method.” J. Nonlinear Funct. Anal., 0. 10.23952/jnfa.2024.33
7. Arfat, Yasir and Phiangsungnoen, Supak and Kumam, Poom and Khan, Muhammad Aqeel Ahmad and Ahmad, Jamshad. 2023. “Some variant of Tseng splitting method with accelerated Visco-Cesaro means for monotone inclusion problems.” American Institute of Mathematical Sciences (AIMS) 8. 10.3934/math.20231254
8. Y., Arfat and P., Kumam and M.A.A., Khan and P.S., Ngiamsunthorn. 2023. “An accelerated extragradient algorithm for fixed point.” Babes-Bolyai University Cluj-Napoca 24. 10.24193/fpt-ro.2023.2.04
9. Arfat, Yasir and Khan, Muhammad Aqeel Ahmad and Kumam, Poom and Kumam, Wiyada and Sitthithakerngkiet, Kanokwan. 2022. “Iterative solutions via some variants of extragradient approximants in Hilbert spaces.” American Institute of Mathematical Sciences (AIMS) 7. 10.3934/math.2022768
10. Arfat, Yasir and Iyiola, Olaniyi S. and Khan, Muhammad Aqeel Ahmad and Kumam, Poom and Kumam, Wiyada and Sitthithakerngkiet, Kanokwan. 2022. “Convergence analysis of the shrinking approximants for fixed point problem and generalized split common null point problem.” Springer Science and Business Media LLC 2022. https://doi.org/10.1186/s13660-022-02803-2
11. ARFAT, YASIR , KUMAM, POOM , KHAN, MUHAMMAD AQEEL AHMAD and CHO, YEOL JE. 2022. “A Hybrid Steepest-Descent Algorithm for Convex Minimization Over the Fixed Point Set of Multivalued Mappings.” Technical University of Cluj Napoca 39. https://doi.org/10.37193/CJM.2023.01.21
12. and ARFAT, YASIR and KUMAM, POOM and KHAN, MUHAMMAD A. A. and SA NGIAMSUNTHORN, PARINYA and. 2022. ““An accelerated Visco-Cesaro means Tseng Type splitting method for fixed point and monotone inclusion problems”.” Technical University of Cluj Napoca 38. https://doi.org/10.37193/CJM.2022.02.02
13. Arfat, Yasir and Kumam, Poom and Khan, Muhammad Aqeel Ahmad and Ngiamsunthorn, Parinya Sa. 2022. “An accelerated variant of the projection based parallel hybrid algorithm for split null point problems.” Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University 0. 10.12775/TMNA.2022.015
14. Arfat, Yasir and Kumam, Poom and Khan, Muhammad Aqeel Ahmad and Ngiamsunthorn, Parinya Sa. 2022. “An inertial extragradient algorithm for equilibrium and generalized split null point problems.” Springer Science and Business Media LLC 48. https://doi.org/10.1007/s10444-021-09920-4
15. Arfat, Yasir and Kumam, Poom and Khan, Muhammad Aqeel Ahmad and Ngiamsunthorn, Parinya Sa. 2021. “Shrinking approximants for fixed point problem and generalized split null point problem in Hilbert spaces.” Springer Science and Business Media LLC 16. https://doi.org/10.1007/s11590-021-01810-4
16. Arfat, Yasir and Kumam, Poom and Khan, Muhammad Aqeel Ahmad and Iyiola, Olaniyi S. 2021. “Multi-inertial parallel hybrid projection algorithm for generalized split null point problems.” Springer Science and Business Media LLC 68. https://doi.org/10.1007/s12190-021-01660-4
17. Arfat, Yasir and Kumam, Poom and Khan, Muhammad Aqeel Ahmad and Ngiamsunthorn, Parinya Sa. 2021. “Parallel shrinking inertial extragradient approximants for pseudomonotone equilibrium.” Springer Science and Business Media LLC 73. https://doi.org/10.1007/s11587-021-00647-4
18. Arfat, Yasir and Kumam, Poom and Khan, Muhammad Aqeel Ahmad and Ngiamsunthorn, Parinya Sa and Kaewkhao, Attapol. 2021. “An inertially constructed forward–backward splitting algorithm in Hilbert spaces.” Springer Science and Business Media LLC 2021. 10.1186/s13662-021-03277-0
19. Arfat, Yasir and Kumam, Poom and Khan, Muhammad Aqeel Ahmad and Ngiamsunthorn, Parinya Sa and Kaewkhao, Attapol. 2021. “A parallel hybrid accelerated extragradient algorithm for pseudomonotone equilibrium.” Springer Science and Business Media LLC 2021. 10.1186/s13662-021-03518-2
20. Arfat, Yasir and Kumam, Poom and Khan, Muhammad Aqeel Ahmad and Sa Ngiamsunthorn, Parinya. 2021. “An accelerated projection?based parallel hybrid algorithm for fixed point and split null point problems in Hilbert spaces.” Wiley 47. 10.1002/mma.7405
21. Arfat, Yasir and Kumam, Poom and Ngiamsunthorn, Parinya Sa and Khan, Muhammad Aqeel Ahmad and Sarwar, Hammad and Fukhar-ud-Din, Hafiz. 2020. “Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces.” Springer Science and Business Media LLC 2020. 10.1186/s13662-020-02956-8
22. Wei, Chang-Cheng and Salman, Muhammad and Ali, Usman and Rehman, Masood Ur and Ahmad Khan, Muhammad Aqeel and Chaudary, Muhammad Hasanain and Ahmad, Farooq. 2020. “Some Topological Invariants of Graphs Associated with the Group of Symmetries.” Wiley 2020. 10.1155/2020/6289518
23. Ashraf, Pakeeza and Nawaz, Bushra and Baleanu, Dumitru and Sooppy Nisar, Kottakkaran and Ghaffar, Abdul and Khan, Muhammad Aqeel Ahmed and Akram, Saima. 2020. “Analysis of Geometric Properties of Ternary Four-Point Rational Interpolating Subdivision Scheme.” MDPI AG 8. https://doi.org/10.3390/math8030338
24. Khan, Muhammad Aqeel Ahmad and Cholamjiak, Prasit. 2020. “A multi-step approximant for fixed point problem and convex optimization problem in Hadamard spaces.” Springer Science and Business Media LLC 22. 10.1007/s11784-020-00796-3
25. Harisa, Samy A. and Khan, M. A. A. and Mumtaz, F. and Faried, Nashat and Morsy, Ahmed and Nisar, Kottakkaran Sooppy and Ghaffar, Abdul. 2020. “Shrinking Cesáro means method for the split equilibrium and fixed point problems in Hilbert spaces.” Springer Science and Business Media LLC 2020. 10.1186/s13662-020-02800-z
26. Arfat, Yasir and Kumam, Poom and Ngiamsunthorn, Parinya Sa and Khan, Muhammad Aqeel Ahmad. 2020. “An inertial based forward–backward algorithm for monotone inclusion problems and split mixed equilibrium problems in Hilbert spaces.” Springer Science and Business Media LLC 2020. 10.1186/s13662-020-02915-3
27. Akhtar Z., Khan M. A. A. 2019. “Rates of convergence for a class of generalized quasi contractive mappings in Kohlenbach hyperbolic spaces.” UPB, Scientific Bulletin, Series A 0. https://www.scientificbulletin.upb.ro/static/pdfs/full3b7_429706.pdf
28. Khan M. A. A. , Arfat Y., Butt A. R. 2018. “A shrinking projection approach to solve split equilibrium problems and fixed point problems in Hilbert spaces .” UPB, Scientific Bulletin, Series A 0. https://www.scientificbulletin.upb.ro/static/pdfs/full51f_542017.pdf
29. Khan, Muhammad Aqeel Ahmad. 2017. “Convergence characteristics of a shrinking projection algorithm in the sense of Mosco for split equilibrium problem and fixed point problem in Hilbert spaces.” Linear and Nonlinear Analysis 0. http://www.yokohamapublishers.jp/online2/oplna/vol3/p423.html
30. Khan, Muhammad Aqeel Ahmad and Fukhar-ud-din, Hafiz and Kalsoom, Amna. 2016. “Existence and higher arity iteration for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces.” Springer Science and Business Media LLC 2016. 10.1186/s13663-015-0483-2
31. Khan, Muhammad Aqeel Ahmad. 2016. “Approximate common solution of fixed point problems and generalized equilibrium problems in Hilbert spaces.” Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica 0. https://studmath-old.up.krakow.pl/index.php/studmath/issue/view/21
32. Khan, Muhammad Aqeel Ahmad and Fukhar-ud-din, Hafiz and Khan, Abdul Rahim. 2014. “Mosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces.” Springer Science and Business Media LLC 2014. 10.1186/1687-1812-2014-59
33. Khan, Muhammad Aqeel Ahmad. 2014. “Iteration schema for common fixed points of nonlinear mappings in spaces of nonpositive curvature.” ISTE Group 5. 10.1515/apam-2013-0044
34. Khan M. A. A., Kohlenbach, U. 2014. “Quantitative image recovery theorems.” Nonlinear Analysis: TMA 0. https://www.sciencedirect.com/science/article/pii/S0362546X14001497
35. Khan, Muhammad Aqeel Ahmad. 2013. “Convergence analysis of a multi-step iteration for a finite family of asymptotically quasi-nonexpansive mappings.” Springer Science and Business Media LLC 2013. 10.1186/1029-242X-2013-423
36. Fukhar-ud-din, Hafiz and Khan, Muhammad Aqeel Ahmad. 2013. “Convergence analysis of a general iteration schema of nonlinear mappings in hyperbolic spaces.” Springer Science and Business Media LLC 2013. 10.1186/1687-1812-2013-238
37. Fukhar-ud-din H., Khan A. R., Kalsoom A., Khan M. A. A. 2013. “One-step implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces.” Journal of Advanced Mathematical Studies 0. http://fairpartners.ro/upload_poze_documente/files/volumul%206%2C%20no.%201/8_Fukhar.pdf
38. Khan, Muhammad Aqeel Ahmad and Fukhar-ud-din, Hafiz. 2013. “Strong convergence by the shrinking effect of two half-spaces and applications.” Springer Science and Business Media LLC 2013. 10.1186/1687-1812-2013-30
39. Khan M. A. A., Kohlenbach U. 2013. “Bounds on Kuhfittig’s iteration schema in uniformly convex hyperbolic spaces.” Journal of Mathematical Analysis and Applications 0. https://www.sciencedirect.com/science/article/pii/S0022247X1300173X
40. Fukhar-ud-din H., Khan A. R., Khan M. A. A. 2012. “A new implicit algorithm of asymptotically quasi-nonexpansive maps in uniformly convex Banach spaces.” IAENG International J. Applied Math. 0. https://www.iaeng.org/IJAM/issues_v42/issue_3/IJAM_42_3_08.pdf
41. Khan, Abdul Rahim and Fukhar-ud-din, Hafiz and Ahmad Khan, Muhammad Aqeel. 2012. “An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces.” Springer Science and Business Media LLC 2012. 10.1186/1687-1812-2012-54
42. Fukhar-ud-din H., Khan M. A. A. 2012. “A new implicit hybrid algorithm for an equilibrium problem and a countable family of relatively nonexpansive mappings in Banach spaces.” Thai Journal of Mathematics 0. https://thaijmath.com/index.php/thaijmath/article/view/297
The Islamia University of Bahawalpur was established in the year 1975 by upgrading historical institute of the Jamia Abbasia.
