AN EXTRAGRADIENT-LIKE METHOD FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS

被引：0
|
作者：
Wang, Yaqin [1 ,2 ]
Gu, Feng [3 ]
机构：
[1] Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China
[2] Sichuan Univ, Math Coll, Chengdu 610064, Sichuan, Peoples R China
[3] Hangzhou Normal Univ, Coll Sci, Hangzhou 310036, Zhejiang, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2014年 / 15卷 / 04期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Nonexpansive mapping; fixed point; variational inequality; inverse-strongly-monotone mapping; generalized mixed equilibrium problem; VARIATIONAL INEQUALITY PROBLEMS; STRONG-CONVERGENCE THEOREM; NONEXPANSIVE-MAPPINGS; MONOTONE MAPPINGS; ITERATIVE METHOD; OPERATORS; WEAK;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first introduce a new general iterative scheme based on the extragradient-like method for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of solutions of a variational inequality and the set of common fixed points for a finite family of nonexpansive mappings in the framework of a Hilbert space. Then we show that the proposed iterative sequence converges strongly to a common element. The results obtained in this paper generalize and improve the recent ones announced by many others.
引用
收藏
页码：733 / 752
页数：20
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