An Iterative Method for Equilibrium and Constrained Convex Minimization Problems

被引：0

作者：

Yazdi, Maryam ^{[1
]}

Shabani, Mohammad Mehdi ^{[2
]}

Sababe, Saeed Hashemi ^{[1
,3
]}

机构：

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

[2] Imam Ali Univ, Fac Sci, Tehran, Iran

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

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2022年 / 62卷 / 01期

关键词：

Nonexpansive mapping; equilibrium problem; fixed point; convex minimization; averaged mapping; iterative method; variational inequality; VISCOSITY APPROXIMATION METHODS; FIXED-POINT PROBLEMS; NONEXPANSIVE-MAPPINGS; VARIATIONAL-INEQUALITIES; EXTRAGRADIENT METHOD; ALGORITHMS; SYSTEMS;

D O I：

10.5666/KMJ.2022.62.1.89

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are concerned with finding a common solution to an equilibrium problem associated with a bifunction, and a constrained convex minimization problem. We propose an iterative fixed point algorithm and prove that the algorithm generates a sequence strongly convergent to a common solution. The common solution is identified as the unique solution of a certain variational inequality.

引用

页码：89 / 106

页数：18

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