A Hybrid Viscosity Approximation Method for a Common Solution of a General System of Variational Inequalities, an Equilibrium Problem, and Fixed Point Problems
Year: 2023
Author: Maryam Yazdi, Saeed Hashemi Sababe
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 1 : pp. 153–172
Abstract
In this paper, we introduce a new iterative method based on the hybrid viscosity approximation method for finding a common element of the set of solutions of a general system of variational inequalities, an equilibrium problem, and the set of common fixed points of a countable family of nonexpansive mappings in a Hilbert space. We prove a strong convergence theorem of the proposed iterative scheme under some suitable conditions on the parameters. Furthermore, we apply our main result for W-mappings. Finally, we give two numerical results to show the consistency and accuracy of the scheme.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2106-m2020-0209
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 1 : pp. 153–172
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Equilibrium problem Iterative method Fixed point Variational inequality.