Research topics

Areas of interests

Multi-agent optimization, Optimal control, Convex analysis, Set-valued analysis, Alexandrov geometry, Nonlinear Analysis

Current research

Bilevel optimization, Nash equilibrium problem, Multi-leader-follower game, Optimization modeling in energy and environmental applications, Convex analysis in nonlinear data spaces

List of Publications

  1. J. Abubakar, P. Chaipunya, P. Kumam, “Iterative method for split equilibrium problem and minimization problem via conjugate gradient method,” Journal of Computational and Applied Mathematics, 2023, 429, 115191.
  2. S. Termkaew, P. Chaipunya, F. Kohsaka, “Infinite product and its convergence in CAT(1) spaces,” Mathematics, 11(8), 1807.
  3. S. Channark, P. Kumam, P. Chaipunya, W. Jirakitpuwapat, “Progressive iterative approximation method with memory and sequences of weights for least square curve fitting,” Science and Technology Asia, 2023, 28(1), pp.90–107.
  4. S. Termkaew, P. Chaipunya, D. Gopal, P. Kumam, “A contribution to best proximity point theory and an application to partial differential equation,” Optimization, to appear.
  5. P. Chaipunya, N. Chuensupantharat, P. Sanguansuttigul, “Graphical Ekeland’s variational principle with a generalized w-distance and a new approach to quasi-equilibrium problems,” Carpathian Journal of Mathematics, 2023, 39(1), pp.95–107.
  6. K. Khammahawong, P. Chaipunya, P. Kumam, “An inertial Mann algorithm for nonexpansive mappings on Hadamard manifolds,” AIMS Mathematics, 2023, 8(1), pp.2093–2116.
  7. A.H. Ibrahim, P. Kumam, M. Sun, P. Chaipunya, A.B. Abubakar, “Projection method with inertial step for nonlinear equations: Application to signal recovery,” Journal of Industrial and Management Optimization, 2023, 19(1), pp.30–55.
  8. S. Channark, P. Kumam, J. Martinez-Moreno, P. Chaipunya, W. Jirakitpuwapat, “Generalized and optimal sequence of weights on a progressive-iterative approximation method with memory for least square fitting,” Mathematical Methods in Applied Sciences, 2022, 45(17), pp.11013–11030.
  9. K. Khammahawong, P. Chaipunya, K. Sombut, “Approximating common fixed points of nonexpansive mappings on Hadamard manifolds with applications,” Mathematics, 2022, 10(21), 4080.
  10. A.B. Abubakar, P. Kumam, A.H. Ibrahim, P. Chaipunya, S.A. Rano, “New hybrid three-term spectral-conjugate gradient method for finding solutions of nonlinear monotone operator equations with applications,” Mathematics and Computers in Simulations, 2022, 201, pp.670–683.
  11. K. Khammahawong, P. Chaipunya, P. Kumam, “Iterative algorithms for monotone variational inequality and fixed point problems on Hadamard manifolds,” Advances in Operator Theory, 2022, 7(4), 43.
  12. S. Yadav, D. Gopal, P. Chaipunya, J. Martinez-Moreno, “Towards strong convergence and Cauchy sequences in binary metric spaces,” Axioms, 2022, 11(8), 383.
  13. P. Dechboon, P. Kumam, P. Chaipunya, “An inertial projection-like method for solving a generalized Nash equilibrium problem,” Science and Technology Asia, 2022, 27(3), pp.109–120.
  14. K. Paponpen, K. Sucharitpongpan, N. Termsaithong, P. Chaipunya, “The implementation of steering angle estimation on miniature Raspberry Pi-based autonomous car,” ICIEA 2022 Proceedings, 2022, pp.1037–1042.
  15. P. Dechoon, P. Kumam, P. Chaipunya, N. Boonyam, “A generalized F-contraction mapping for coupled fixed point theorems and an application to a two-person game,” Journal of Nonlinear Functional Analysis, 2022, 11.
  16. P. Dechboon, P. Kumam, P. Chaipunya, “An alternative extragradient method for a vector quasi-equilibrium problem to a vector generalized Nash equilibrium problem,” in: Studies in Systems, Decision and Control, 2022, 427, pp.27–47.
  17. M.M. Yahaya, P. Kumam, A.M. Awwal, P. Chaipunya, S. Aji, S. Sani, “A new generalized quasi-Newton algorithm based on structured diagonal Hessian approximation for solving nonlinear least-squares problems with application to 3DOF planar robot arm manipulator,” IEEE Access, 2022, 10, pp.10816–10826.
  18. P. Chaipunya, F. Kohsaka, P. Kumam, “Monotone vector fields and generation of nonexpansive semigroups in complete CAT(0) spaces,” Numerical Functional Analysis and Optimization, 2021, 42(9), pp.989–1018.
  19. A.B. Abubakar, P. Kumam, M. Malik, P. Chaipunya, A.H. Ibrahim, “A hybrid FR-DY conjugate gradient algorithm for unconstrained optimization with application in portfolio selection,” AIMS Mathematics, 2021, 6(6), pp.6506–6527.
  20. K. Khammahawong, P. Kumam, P. Chaipunya, J. Martinez-Moreno, “Tseng’s methods for inclusion problems on Hadamard manifolds,” Optimization, 2022, 71(5), pp.4367–4401.
  21. K. Khammahawong, P. Kumam, P. Chaipunya, S. Plubtieng, “New Tseng’s extragradient methods for Pseudomonotone Variational Inequality Problems in Hadamard Manifolds,” Fixed Point Theory and Algorithms for Sciences and Engineering, 2021, 2021(1), 5.
  22. K. Khammahawong, P. Kumam, P. Chaipunya, “Splitting algorithms for equilibrium problems and inclusion problems on Hadamard manifolds,” Numerical Functional Analysis and Optimization, 2021, 42(14), pp.1645–1682.
  23. U. Deepan, P. Kumam, P. Chaipunya, “Sparse pinball twin parametric support vector machine,” Thai Journal of Mathematics, 2021, 19(2), pp.607–622.
  24. U.B. Yusuf, P. Chaipunya, P. Kumam, S. Yoo-Kong, “Composition of quantum operations and their fixed points,” in: Data Science for Financial Econometrics, N. Ngoc Thach et al. (Eds.), 2021, Springer, Cham, Switzerland.
  25. S. Termkaew, P. Kumam, P. Chaipunya, “Splitting proximal algorithms for convex optimizations over metric spaces with curvature bounded above,” Thai Journal of Mathematics, 2021, 19(2), pp.693–711.
  26. P. Dechboon, P. Kumam, P. Chaipunya, S. Dhompongsa, “Fuzzy equilibrium via best proximity pairs in abstract economies,” Soft Computing, 2021, 25(12), pp.7899–7905.
  27. I. Ahmed, E.F.D. Goufo, A. Yusuf, P. Kumam, P. Chaipunya, K. Nonlaopon, “An epidemic prediction from Analysis of a combined HIV-COVID-19 co-infection model via ABC-fractional operator,” Alexandria Engineering Journal, Vol.50 (3), 2021.
  28. K. Khammahawong, P. Kumam, P. Chaipunya, “Splitting algorithm of common solutions between equilibrium and inclusion problems on Hadamard manifolds,” Linear and Nonlinear Analysis, Vol.6 (2), 2020, pp.227–243.
  29. K. Khammahawong, P. Kumam, P. Chaipunya, “On the convergence of splitting algorithm for mixed equilibrium problems on Hadamard manifolds,” Journal of Mathematical Chemistry, Vol.58 (4), 2020, pp.799–815.
  30. A. Padcharoen, P. Kumam, P. Chaipunya, Y. Shehu, “Convergence of inertial modified Krasnoselskii-Mann iteration with application to image recovery,” Thai Journal of Mathematics, Vol.18 (1), 2020, pp.126–142.
  31. N. Pakkaranang, P. Kumam, P. Cholamjiak, R. Suparatulatorn, P. Chaipunya, “Proximal point algorithms involving fixed point iteration for nonexpansive mappings in CAT(\kappa) spaces,” Carpathian Journal of Mathematics, Vol.34 (2), 2018, pp.229–237.
  32. W. Jirakitpuwapat, P. Chaipunya, P. Kumam, S. Dhompongsa, P. Thounthong, “New methods of construction of cartesian authentication codes from geometries over finite commutative rings,” Journal of Mathematical Cryptography, Vol.12 (3), 2018, pp.119–136..
  33. A. Padcharoen, P. Kumam, P. Saipara, P. Chaipunya, “Generalized Suzuki type \mathcal{Z}-contraction in complete metric spaces,” Kragujevak Journal of Mathematics, Vol.42 (2018), pp.419–430.
  34. A. Padcharoen, P. Chaipunya, P. Kumam, “Existence theory in modular metric spaces,” in: Advances in Mathematical Inequalities and Applications, P. Agarwal et al. (Eds.), 2018, Birkhäuser, Singapore.
  35. P. Dechboon, P. Sa Ngiamsunthorn, P. Kumam, P. Chaipunya, “Berinde-Borcut tripled best proximity points with generalized contraction pairs,” Thai Journal of Mathematic, Vol.16 (2018), pp.287–305.
  36. P. Chaipunya, “Variational inequalities under the global NPC condition,” in: New Trends in Analysis and Geometry, A.H. Alkhaldi et al. (Eds.), 2018, Cambridge Scholars Publishing, UK.
  37. K. Wongkum, P. Kumam, Y.J. Cho, P. Thounthong, P. Chaipunya, “On the generalized Ulam-Hyers-Rassias stability for quartic functional equation in modular spaces,” The Journal of Nonlinear Science and Applications, Vol.10 (2017), pp.1399–1406.
  38. P. Chaipunya, P. Kumam, “On the proximal point method in Hadamard spaces,” Optimization, Vol.66 (2017), Issue 10, pp.1647–1665.
  39. P. Chaipunya, P. Kumam, “Recent fixed point techniques in fractional set-valued dynamical systems,” in: Dynamical Systems – Analytical and Computational Techniques, M. Reyhanoglu (Ed.), 2017, InTech Publisher.
  40. P. Saipara, W. Kumam, P. Chaipunya, “Modified random errors S-iterative process for stochastic fixed point theorems in a generalized convex metric spaces,” Statistics, Optimization, and Information Computing, Vol.5 (2017), pp.65–74.
  41. P. Chaipunya, P. Kumam, “On some classical soft intersection properties,” The Journal of Nonlinear Science and Applications, Vol.9 (2016), pp.5136–5142.
  42. A. Padcharoen, D. Gopal, P. Chaipunya, P. Kumam, “Fixed point and periodic point results for \alpha-type F-contractions in modular metric spaces,” Fixed Point Theory and Applications, 2016 (1), 39.
  43. P. Chaipunya, P. Kumam, “On the solvability of generalized set-valued equilibrium problems,” Journal of Nonlinear Analysis and Optimization, 2015 (In press).
  44. P. Chaipunya, P. Kumam, “Fixed point theorems for cyclic operators with application in fractional integral inclusions with delays,” Discrete and Continuous Dynamical Systems Supplement, Dynamical Systems, Differential Equations and Applications, AIMS Procedings, 2015, pp.248–257.
  45. P. Saipara, P. Chaipunya, Y.J. Cho, P. Kumam, “On strong and \Delta-convergence of modified S-iteration for total asymptotically nonexpansive mappings in CAT(\kappa) spaces,” The Journal of Nonlinear Science and Applications, Vol.8 (2015), pp.965–975.
  46. P. Chaipunya, P. Kumam, “Common fixed points for an uncountable family of weakly contractive operators,” Carpathian Journal of Mathematics, Vol.31, No.3 (2015), pp.307–312.
  47. P. Chaipunya, P. Kumam, “An observation on set-valued contraction mappings in modular metric spaces,” Thai Journal of Mathematics, Vol.13, No.1 (2015), pp.9–17.
  48. P. Chaipunya, P. Kumam,“Nonself KKM maps and corresponding theorems in Hadamard manifolds,” Applied General Topology, Vol.16, No.1 (2015), pp.37–44.
  49. K. Wongkum, P. Chaipunya, P. Kumam, “On the generalized Ulam-Hyers-Rassias stability of quadratic mappings in modular spaces without \Delta_{2} conditions,” Journal of Function Spaces, Vol.2015, Article ID 461719, 2015.
  50. P. Chaipunya, Y.J. Cho, P. Kumam, “A remark on the property P and periodic points of order \infty in cone metric spaces,” Mathematiči Vesnik, 66, 4 (2014), pp.357–363.
  51. P. Chaipunya, Y.J. Cho, P. Kumam,“On circular metric spaces and common fixed points for an infinite family of set-valued operators,” Vietnam Journal of Mathematics, June 2014, Vol.42, Issue 2, pp.205–218.
  52. P. Chaipunya, P. Kumam, “On the distance between three arbitrary points,” Journal of Function Spaces and Applications, vol. 2013, Article ID 194631, 7 pages, 2013.
  53. P. Chaipunya, P. Kumam, “Topological aspects of circular metric spaces and some observations on the KKM property towards quasi-equilibrium problems,” Journal of Inequalities and Applications, 2013, 2013:343.
  54. K. Wongkum, P. Chaipunya, P. Kumam, “Some analogies of the Banach contraction principle in fuzzy modular spaces,” The Scientific World Journal, vol. 2013, Article ID 205275, 4 pages, 2013.
  55. P. Chaipunya, W. Sintunavarat, P. Kumam, “On \mathcal{P}-contractions in ordered metric spaces,” Fixed Point Theory and Applications, 2012, 2012:219.
  56. P. Chaipunya, Y.J. Cho, P. Kumam, “Geraghty-type theorems in modular metric spaces with an application to partial differential equation,” Advances in Difference Equations, 2012, 2012:83.
  57. P. Chaipunya, C. Mongkolkeha, W. Sintunavarat, P. Kumam, “Fixed point theorems for multivalued mappings in modular metric spaces,” Abstract and Applied Analysis, vol. 2012, Article ID 503504, 14 pages, 2012.