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
收藏
页码：1793 / 1812
页数：20
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