Home \ Faculty Details \ Khairul Saleh
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  • Phone:

    8874

  • Email:

    ksaleh@pmu.edu.sa

  • Office No:

    F122

  • Khairul Saleh

  • Job Title :

    Assistant Professor

  • College :

    College of Sciences and Human Studies


  • Department :

    Mathematics & Natural Sciences


Dr. Khairul Saleh is an Assistant Professor of Mathematics in the Department of Mathematics and Natural Sciences at Prince Mohammad Bin Fahd University (PMU), Saudi Arabia. Dr. Saleh’s research focuses on the qualitative analysis of dynamical systems, with particular interest in stability, bifurcation theory, population dynamics, fixed point algorithms, and approximation methods. In teaching, Dr. Saleh emphasizes conceptual understanding, active learning, and the use of technology to help students develop mathematical reasoning, problem-solving, and analytical skills. He integrates computational tools, visualization, and real-world applications to connect mathematical theory with practice.Currently, Dr. Saleh is engaged in research on nonlinear dynamical systems, bifurcation analysis, fixed point theory, and iterative algorithms, and is interested in advancing interdisciplinary research that connects theoretical mathematics with applications in applied sciences and computational mathematics.

Ph.D., Applied Mathematics, University of Groningen, The Netherlands, Dec 2005

M.Sc., Applied Mathematics, University of Groningen, The Netherlands, 2001

M.Sc, Mathematics, Bandung Insitute of Technology, Indonesia, 1999

B.Sc, Mathematics, University of Riau, Indonesia, 1996.

  1. K. Saleh, Solving Variational Inequalities over Solutions of Split Equality Fixed Point Problems for Demicontractive Mappings, Afr. Mat. 37(3), 83, 2026.
  2. Berinde, V. and Saleh, K. Accelerated average iterative methods for the multiple-set split common fixed point problem of demicontractive mappings, An. St. Univ. Ovidius Constanta, Math Series, Vol. 34(3), 2026.
  3. Berinde, V. and Saleh, K. Averaged Iteration Algorithms for convex optimization problems over common fixed points set of demicontractive mappings, Axioms 2026, 15(1), 8.
  4. M.F. Ansori, H.K. Fata, N.Y. Ashar, R. Herdiana, K. Saleh, On the Dynamics of Particular Discrete Quadratic Systems with Potential Absence of Equilibria: Standard Euler versus Nonstandard Mickens Discretizations, European Journal of Pure and Applied Mathematics, 2025, 18 (4), 6506.
  5. Berinde, V. and K. Saleh, Approaching the split common solution problem for nonlinear demicontractive mappings by means of averaged iterative algorithms, submitted to Studia Universitatis Babeş-Bolyai, Mathematica, 2025, 70 (2).
  6. Berinde, V. and Saleh, K., An Averaged Halpern-Type Algorithm for Solving Fixed-Point Problems and Variational Inequality Problems, Axioms, 2024, 13(11), 756.
  7. Berinde, V. and Saleh, K., New averaged type algorithms for solving split common fixed-point problems for demi-contractive mappings, Arabian Journal of Mathematics, 2024, 13(3), 679–688.
  8. Oyetunbi, D.M., Khan, A.R. and Saleh, K., Strict fixed point and Ulam-Hyers stability of multivalued asymptotically regular mappings, Filomat, 2024, 38(2), 661–668.
  9. A. Iqbal, K. Saleh, and I. Ahmad, Hermite-Hadamard Inequality for Pre-invex Functions, Italian Journal Pure & Applied Mathematics, 2023, (50), 294–302.
  10. K. Saleh, Basins of attraction in a modified ratio-dependent predator-prey model with prey refugee, AIMS Mathematics, 2022, 7(8), pp. 14875–14894.
  11. M.R. Alfuraidan, M.A. Khamsi, K. Saleh, “On asymptotically nonexpansive mappings with non-convex domains”, Fixed Point Theory, 2022, 23(1), pp. 75–84.
  12. K. Saleh, I. Ahmad, “Hardy-Littlewood-Polya Type Inequalities for Generalized Convex Functions”, Southeast Asian Bulletin of Mathematics 45 (1), 2021, 119-126.
  13. K. Saleh, H. Fukhar-ud-din, “Common fixed point iterations for a class of multi-valued mappings in CAT(0) spaces”, Arabian Journal Mathematics, 2020, 9(3), pp. 681–690.
  14. K. Saleh and H. Fukhar-ud-din, “Common Fixed Point of Generalized Asymptotic Pointwise (Quasi-) Nonexpansive Mappings in Hyperbolic Spaces”, Korean Journal of Mathematics 28 (4), 2020, 915-929.
  15. E.S. Bakalah, F.D. Zaman, K. Saleh, “Linear and nonlinear vibrations of inhomogeneous Euler-Bernoulli beam”, Coupled Systems, 2018, 7(5), pp. 635–647.
  16. W.A. Ahmed, F.D. Zaman, K. Saleh, Invariant solutions for a class of perturbed nonlinear wave equations, Mathematics, 2017, 5(4), 59.
  17. H. Fukhar-ud-din and K. Saleh, “One-Step Iterations for a Finite Family of Generalized Nonexpansive Mappings in CAT (0) Spaces”, B Malays Math Sci So, 1-12, 2016.
  18. K. Saleh, “Dynamics of a predator-prey model with Allee effect and prey group defense”, AIP Conference Proceedings, Vol. 1643 (1), 655-661, 2015.
  19. K. Saleh and Wagener, F.O.O, “Semi-global Analysis of Periodic and Quasi-periodic Normal-internal k:1 and k:2 Resonances”, Nonlinearity, vol. 23, no. 9, pp. 2219-2252, 2010.   
  20.  H.W. Broer, V. Naudot, R. Roussarie, K. Saleh and F.O.O. Wagener, “Organising centres in the semi-global analysis of dynamical systems”, IJAMAS Special issues on Euler volume 12 (D07) (2007), 7-36.
  21.  H.W. Broer, K. Saleh, R. Roussarie and V. Naudot, “Dynamics of a predator-prey model with non-monotonic response function”, Discrete and Continuous Dynamical Systems 18(2&3) (2007), 221-251. 
  22.  H.W. Broer, V. Naudot, R. Roussarie and K. Saleh, “A predator-prey model with non-monotonic response function”, Regul. Chaotic Dyn. 11 (2) (2006), 155-165.
  23.  H.W. Broer, V. Naudot, R. Roussarie and K. Saleh, “Bifurcations of a predator-prey model with non-monotonic response function”, C.R. Acad.Sci. Paris Ser. I 341 (2005), 601-604.
  24. K. Saleh, “Dynamics of modified Leslie–Gower predator–prey model with predator harvesting”, Int. J. Basic Appl. Sci 13 (4), 2013, 55-60
  25. K. Saleh, “A Ratio-dependent Predator-prey System with Quadratic Predator Harvesting”, Asian Transactions on Basic and Applied Sciences (ATBAS ISSN: 2221-4291) Vol. 02 (04), 21-25, 2012.
  26. K. Saleh, “Multiple attractors involving chaos in a predator-prey model with non-monotonic response function”, International Journal of Basic & Applied Sciences IJBAS-IJENS Vol: 11 No: 04, 2011.

 

Department of Mathematics and Natural Sciences, College of Sciences and Human Studies, Prince Mohammad Bin Fahd University, Al Khobar 31952, Saudi Arabia

Google Scholar:  https://scholar.google.com/citations?user=sd9YnRcAAAAJ&hl=en 

Scopus:  https://www.scopus.com/authid/detail.uri?authorId=56249959200 

Orchid:  https://orcid.org/0000-0003-3811-249X

Assistant Professor

 

 

Department of Mathematics and Natural Sciences, College of Sciences and Human Studies, Prince Mohammad Bin Fahd, Saudi Arabia.

2025 – Present

Assistant Professor

 

 

Department of Mathematics, College of Computing and Mathematics, KFUPM, Saudi Arabia.

2007 – 2025

Visiting Lecturer

Department of Mathematics, University Malaysia Perlis, Malaysia

2006 – 2007

 

PMU (2025-2026)

MATH1422 Calculus I 2025, 2026
MATH1311 Finite Mathematics for Students of Business 2025, 2026
MATH1324 Calculus III 2026

 

My research explores fundamental questions in the study of dynamical systems, focusing on their mathematical structures, stability properties, and applications. I am particularly interested in the qualitative behavior of nonlinear systems, bifurcation theory and applications in population dynamics. I also work on the area of fixed points theory and applications. I am interested in the existence and uniqueness of fixed points, common fixed points, iterative approximation techniques, and applications in optimizations.