@Article{JCM-41-153, author = {Yazdi , Maryam and Hashemi Sababe , Saeed}, title = {A Hybrid Viscosity Approximation Method for a Common Solution of a General System of Variational Inequalities, an Equilibrium Problem, and Fixed Point Problems}, journal = {Journal of Computational Mathematics}, year = {2022}, volume = {41}, number = {1}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2106-m2020-0209}, url = {http://global-sci.org/intro/article_detail/jcm/21174.html} }