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

被引：3

作者：

Yazdi, Maryam ^{[1
]}

Sababe, Saeed Hashemi ^{[1
,2
]}

机构：

[1] Islamic Azad Univ, Malard Branch, Young Researchers & Elite Club, Malard, Iran

[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB, Canada

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2023年 / 41卷 / 01期

关键词：

Equilibrium problem; Iterative method; Fixed point; Variational inequality; IMPLICIT MIDPOINT RULE; ITERATIVE METHOD; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; EXTRAGRADIENT METHOD; FEASIBILITY;

D O I：

10.4208/jcm.2106-m2020-0209

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new iterative method based on the hybrid viscosity ap-proximation 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 condi-tions 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.

引用

页码：153 / 172

页数：20

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