AN INERTIAL ITERATIVE SCHEME FOR SOLVING SPLIT VARIATIONAL INCLUSION PROBLEMS IN REAL HILBERT SPACES

Authors

  • Pawicha Phairatchatniyom Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bangmod, Thung Khru, 10140, Bangkok, Thailand
  • Habib ur Rehman Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bangmod, Thung Khru, 10140, Bangkok, Thailand
  • Jamilu Abubakar Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bangmod, Thung Khru, 10140, Bangkok, Thailand
  • Poom Kumam Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkuts University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bangmod, Thung Khru, 10140, Bangkok, Thailand
  • Juan Mart´ınez-Moreno Department of Mathematics, University of Ja´en, Campus las Lagunillas s/n, 23071, Ja´en, Spain

Keywords:

Split variational inclusion problem, Fixed point problem, Inertial method, Strong convergence

Abstract

In this paper, we present a new inertial iterative algorithm for solving split variational inclusion problems in real Hilbert spaces. The strong convergence is proved under standard conditions. In applications, the proposed iterative algorithm is applicable to the iterative methods for solving split feasibility and split minimization problems. Additionally, we present numerical experiments with some examples to illustrate the convergence performance of the proposed algorithm in comparisons with some existing approaches in the literature. Finally, we concluded that the proposed algorithm is faster and more efficient than some existing ones.

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Published

2021-12-31

How to Cite

Phairatchatniyom, P., Rehman, H. ur, Abubakar, J., Kumam, P., & Mart´ınez-Moreno, J. (2021). AN INERTIAL ITERATIVE SCHEME FOR SOLVING SPLIT VARIATIONAL INCLUSION PROBLEMS IN REAL HILBERT SPACES. Bangmod International Journal of Mathematical and Computational Science, 7, 35–52. Retrieved from https://bangmodjmcs.com/index.php/bangmodmcs/article/view/26

Issue

Vol. 7 (2021)

Section

Research Article

License

Copyright (c) 2021 Bangmod International Journal of Mathematical and Computational Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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