@Article{JCM-41-1,
author = {Yazdi, Maryam and Saeed, Sababe, Hashemi},
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 = {2023},
volume = {41},
number = {1},
pages = {153--172},
abstract = {<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>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2106-m2020-0209},
url = {https://global-sci.com/article/84109/a-hybrid-viscosity-approximation-method-for-a-common-solution-of-a-general-system-of-variational-inequalities-an-equilibrium-problem-and-fixed-point-problems}
}