TY - JOUR
T1 - A Hybrid Viscosity Approximation Method for a Common Solution of a General System of Variational Inequalities, an Equilibrium Problem, and Fixed Point Problems
AU - Yazdi , Maryam
AU - Hashemi Sababe , Saeed
JO - Journal of Computational Mathematics
VL - 1
SP - 153
EP - 172
PY - 2022
DA - 2022/11
SN - 41
DO - http://doi.org/10.4208/jcm.2106-m2020-0209
UR - https://global-sci.org/intro/article_detail/jcm/21174.html
KW - Equilibrium problem, Iterative method, Fixed point, Variational inequality.
AB - <p style="text-align: justify;">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.</p>