Dr. Aqeel Ahmad Khan
Assistant Professor, Mathematics
Area of Interest: Fixed Point Theory and its Applications, Mathematical Logic(Computational Content of Proofs), Convex Optimization and Monotone Operator Theory
Tel # (Off): 111-001-007   (136)
Served Previously

I obtained my doctoral degree in March 2014 from the Department of Mathematics, the Islamia University of Bahawalpur (Pakistan) under the supervision of Dr. Hafiz Fukhar-ud-din.

Research Interests:

  • Fixed Point Theory and its Applications
  • Mathematical Logic (Computational Content of Proofs)
  • Convex Optimization and Monotone Operator Theory

 

Principal Investigator of HEC funded project NRPU 5332 “approximate common solution of equilibrium problems and variational inequality problems together with fixed point problems" (2017-2019).

 

Scholarship and Awards:

Research Fellowship by German Academic Exchange Service (DAAD).

Research Fellowship by German Science Foundation (DFG).

Indigenous Ph.D. Fellowship by Higher Education Commission (HEC) of Pakistan.

International Research Support Initiative Program by HEC.

 

Supervised Master Theses:

  1. Abdul Rasheed, Iterative construction for common fixed point problems in geodesic spaces, 2017.
  2. Faisal Mumtaz, Convergence analysis of hybrid projection method for split equilibrium problems in Hilbert spaces, (2018).
  3. Hammad Sarwar, Hybrid projection algorithm for generalized split equilibrium problems in Hilbert spaces, (2018).
  4. Wakeel Ahmad, Convergence analysis of proximal point algorithm in spaces of non-positive sectional curvature, (2019).
  5. Hafiz Muhammad Waseem Farooq, Cesaro Means Method for Monotone Inclusion, Split Equilibrium and Fixed Point Problems in Hilbert Spaces, (2021).
  6. Muhammad Jawad Haider, Cesaro Means Method for Fixed Point, Equilibrium and Split Null Point Problems in Hilbert Spaces, (2021).
  7. Muhammad Fiaz (IMM-Student jointly supervised with Dr. Daniele Angella and Dr. Francesco Pediconi), Analytical Continuation and Natural Domains of Holomorphic Function of One Variable, (2021).
  8. Ibrahim Abdulazeez (IMM-Student), Non-Uniform Invariant Measure for Some Hyperbolic Maps, (2021).

Publications:

Journal Papers:
1. Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan and Olaniyi S. Iyiola (2021), "Multi-Inertial Parallel Hybrid Projection Algorithm for Generalized Split Null Point Problems", Journal of Applied Mathematics and Computing , pp: 1-20, Vol: 2021, Impact Factor: 1.686    (External URL)
2. Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan and Parinya Sa Ngiamsunthorn (2021), "Shrinking Approximants for Fixed Point Problem and Generalized Split Null Point Problem in Hilbert Spaces", Optimization Letters, pp: 1-19, Vol: 2021, Impact Factor: 1.796    (External URL)
3. Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan and Parinya Sa Ngiamsunthorn (2021), "Parallel Shrinking Inertial Extragradient Algorithm for Pseudomonotone Equilibrium, Fixed Point and Generalized Split Null Point Problems", Ricerche di Matematica, pp: 1-27, Vol: 2021, Impact Factor: 1.034    (External URL)
4. Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Parinya Sa Ngiamsunthorn and Attapol Kaewkhao (2021), "A Parallel Hybrid Accelerated Extragradient Algorithm for Pseudomonotone Equilibrium, Fixed Point and Split Null Point Problems", Advances in Difference Equations, pp: 1-19, Vol: 2021, Impact Factor: 2.80   
5. Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan and Parinya Sa Ngiamsunthorn (2021), "An Accelerated Projection Based Parallel Hybrid Algorithm for Fixed Point and Split Null Point Problems in Hilbert Spaces", Math. Meth. Appl. Sci.,, pp: 1-19, Vol: 2021, Impact Factor: 2.321   
6. Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Parinya Sa Ngiamsunthorn and Attapol Kaewkhao (2021), "An Inertially Constructed Forward-Backward Splitting Algorithm in Hilbert Spaces", Advances in Difference Equations, pp: 1-23, Vol: 2021, Impact Factor: 2.80   
7. Yasir Arfat, Poom Kumam, Parinya Sa Ngiamsunthorn , Muhammad Aqeel Ahmad Khan, Hammad Sarwar and Hafiz Fukhar-ud-din (2020), "Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces", Advances in Difference Equations, pp: 1-21, Vol: 2020, Issue: 512, Impact Factor: 2.421   
8. Yasir Arfat, Poom Kumam, Parinya Sa Ngiamsunthorn and Muhammad Aqeel Ahmad Khan (2020), "An Inertial Based Forward-Backward Algorithm for Monotone Inclusion Problems and Split Mixed Equilibrium Problems in Hilbert Spaces", Advances in Difference Equations, pp: 1-25, Vol: 2020, Issue: 453, Impact Factor: 2.421   
9. M. A. A. Khan and P. Cholamjiak, (2020), "A multi-step approximant for fixed point problem and convex optimization problem in Hadamard spaces", J. Fixed Point Theory Appl., , pp: 1-17, Vol: 22, Issue: 62, Standard: 1661-7746, Impact Factor: 1.253    (External URL)
10. P. Ashraf, B. Nawaz, D. Baleanu, K. S. Nisar, A. Ghaffar, M. A. A. Khan and S. Akram, (2020), "Analysis of geometric properties of ternary four-point rational interpolating subdivision scheme,", Mathematics, Vol: 8, Issue: 3, Standard: 2227-7390, Impact Factor: 1.7    (External URL)
11. Samy A. Harisa, M. A. A. Khan, F. Mumtaz, Nashat Faried, Ahmed Morsy, Kottakkaran Sooppy Nisar & Abdul Ghaffar (2020), "Shrinking Cesáro means method for the split equilibrium and fixed point problems in Hilbert spaces", Advances in Difference Equations, Vol: 2020, Standard: 1687-1847, Impact Factor: 2.421    (External URL)
12. C.-C. Wei, M. Salman, U. Ali, M. Rehman, M. A. A. Khan, M. H. Chaudary and F. Ahmad (2020), "Some topological invariants of graphs associated to the group of symmetries", J. Chem., , Vol: 2020, Standard: 2090-9071, Impact Factor: 1.727    (External URL)
13. Akhtar Z. and 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 Mathematics, pp: 173-182 , Vol: 81, Issue: 1, Standard: 1223-7027, Impact Factor: 0.4    (External URL)
14. Khan M. A. A. , Arfat Y. and 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, pp: 33-46, Vol: 80, Issue: 1, Impact Factor: 0.4   
15. Khan M. A. A. (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, pp: 423-435, Vol: 3 (2017)   
16. M. A. A. Khan (2016), "Approximate common solution of fixed point problems and generalized equilibrium problems in Hilbert spaces", Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, pp: 79-96, Vol: 15   
17. M. A. A. Khan, H. Fukhar-ud-din, A. Kalsoom (2016), "Existence and higher arity iteration for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces,", Fixed Point Theory and Applications, pp: 18, Vol: 2016   
18. M. A. A. Khan (2014), "Iteration schema for common fixed points of nonlinear mappings in spaces of nonpositive curvature", Advances in Pure and Applied Mathematics, pp: 10, Vol: 2014   
19. M. A. A. Khan, H. Fukhar-ud-din, A. R. Khan (2014), "Mosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces", Fixed Point Theory and Applications, pp: 16, Vol: 2014, Impact Factor: 2.49   
20. M. A. A. Khan, U. Kohlenbach (2014), "Quantitative image recovery theorems ", Nonlinear Analysis: TMA, pp: 138-150, Vol: 106, Impact Factor: 1.64   
21. M. A. A. Khan, U. Kohlenbach (2013), "Bounds on Kuhfittig’s iteration schema in uniformly convex hyperbolic spaces", Journal of Mathematical Analysis and Applications, pp: 633–642, Vol: 403, Impact Factor: 1.119   
22. M. A. A. Khan, H. Fukhar-ud-din (2013), "Convergence analysis of a general iteration schema of nonlinear mappings in hyperbolic spaces", Fixed Point Theory and Applications, pp: 18, Vol: 2013, Impact Factor: 2.49   
23. M. A. A. Khan (2013), "Convergence analysis of a multi-step iteration for a finite family of asymptotically quasi-nonexpansive mappings", Journal of Inequalities and Applications, pp: 10, Vol: 2013, Impact Factor: 0.77   
24. H. Fukhar-ud-din, A. R. Khan, M. A. A. Khan (2013), "One-step implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces", Journal of Advance Mathematical Studies, pp: 73-81, Vol: 06, Issue: 01   
25. M. A. A. Khan, H. Fukhar-ud-din (2013), "Strong convergence by the shrinking effect of two half-spaces", Fixed Point Theory and Applications, pp: 13, Vol: 2013, Impact Factor: 2.49   
26. H. Fukhar-ud-din, A. R. Khan, M. A. A. Khan (2012), "A new implicit algorithm of asymptotically quasi-nonexpansive maps in uniformly convex Banach spaces", IAENG International J. Applied Math., pp: 05, Vol: 42, Issue: 03   
27. H. Fukhar-ud-din, M. A. A. Khan (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, pp: 13-23, Vol: 10, Issue: 01   
28. A. R. Khan, H. Fukhar-ud-din, M. A. A. Khan (2012), "An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces", Fixed Point Theory and Applications, pp: 12, Vol: 2012, Impact Factor: 2.49   
Conference Papers:
1. M. A. A. Khan (2011) "Shrinking projection method for common fixed points of a pair of relatively nonexpansive maps and an equilibrium problem in Banach spaces", The 5th World Conference at Abdus-Salam School of Mathematical Sciences   

Qualification

PhD
The Islamia University of Bahawalpur, Pakistan
Sep 2009 to Mar 2014
   

Experience

Assistant Professor
COMSATS University Islamabad, Lahore Campus
Sep 2015 to Date
   
Assistant Professor
Govt. College University Faisalabad
Sep 2014 to Aug 2015
   
Research Assistant
Technische Universitat Darmstadt, Germany
Oct 2012 to Feb 2013
   
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