A HYBRID VISCOSITY APPROXIMATION METHOD FOR A COMMON SOLUTION OF A GENERAL SYSTEM OF VARIATIONAL INEQUALITIES,AN EQUILIBRIUM PROBLEM,AND FIXED POINT PROBLEMS

作     者：Maryam Yazdi Saeed Hashemi Sababe 

作者机构：Young Researchers and Elite ClubMalard BranchIslamic Azad UniversityMalardIran Department of mathematical and statistical sciencesUniversity of AlbertaEdmontonCanada Young Researchers and Elite ClubMalard BranchIslamic Azad UniversityMalardIran 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2023年第41卷第1期

页      面：153-172页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：University of Alberta  UofA 

主　　题：Equilibrium problem Iterative method Fixed point Variational inequality 

摘      要：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 *** prove a strong convergence theorem of the proposed iterative scheme under some suitable conditions on the ***,we apply our main result for ***,we give two numerical results to show the consistency and accuracy of the scheme.