A GENERAL ITERATIVE ALGORITHM FOR MONOTONE INCLUSION, GENERALIZED MIXED EQUILIBRIUM AND FIXED POINT PROBLEMS

被引：0

作者：

Jung, Jong Soo ^{[1
]}

机构：

[1] Dong A Univ, Dept Math, Busan 49315, South Korea

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2019年 / 20卷 / 09期

基金：

新加坡国家研究基金会;

关键词：

Monotone inclusion problem; generalized mixed equilibrium problem; maximal monotone operator; variational inequality; zeros; fixed points; continuous monotone mapping; continuous pseudocontractive mapping; minimum-norm point; STRONG-CONVERGENCE THEOREMS; VARIATIONAL INEQUALITY; NONEXPANSIVE-MAPPINGS; OPERATORS;

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 introduce a general iterative algorithm for finding a common solution of the monotone inclusion problem, the generalized mixed equilibrium problem and the fixed point problem of a continuous pseudocontractive mapping in a Hilbert space. Then we establish strong convergence of the sequence generated by the proposed iterative algorithm to a common point of three solution sets, which is a solution of a certain variational inequality. Further, we find the minimum-norm element in the common solution set.

引用

页码：1793 / 1812

页数：20

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