AN ALGORITHM FOR FINDING A COMMON SOLUTION FOR A SYSTEM OF MIXED EQUILIBRIUM PROBLEM, QUASI-VARIATIONAL INCLUSION PROBLEM AND FIXED POINT PROBLEM OF NONEXPANSIVE SEMIGROUP

被引：0

作者：

Min, Liu ^{[1
]}

Chang, Shih-sen ^{[1
]}

Zuo, Ping ^{[1
]}

机构：

[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China

来源：

OPUSCULA MATHEMATICA | 2010年 / 30卷 / 04期

关键词：

nonexpansive semigroup; mixed equilibrium problem; viscosity approximation method; quasi-variational inclusion problem; multi-valued maximal monotone mappings; alpha-inverse-strongly monotone mapping;

D O I：

10.7494/OpMath.2010.30.4.465

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a hybrid iterative scheme for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed points for a nonexpansive semigroup and the set of solutions of the quasi-variational inclusion problem with multi-valued maximal monotone mappings and inverse-strongly monotone mappings in a Hilbert space. Under suitable conditions, some strong convergence theorems are proved. Our results extend some recent results in the literature.

引用

页码：465 / 484

页数：20

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