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.
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页码：89 / 106
页数：18
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