A NEW ALGORITHM FOR FINDING A COMMON SOLUTION OF A SPLIT VARIATIONAL INEQUALITY PROBLEM, THE FIXED POINT PROBLEMS AND THE VARIATIONAL INCLUSION PROBLEMS

被引：1
|
作者：
Sun, Wenlong [1 ]
Liu, Yanqiu [2 ]
Jin, Yuanfeng [3 ]
Park, Choonkil [4 ]
机构：
[1] ShenYang Univ Technol, Dept Math, Sch Sci, Shenyang 110870, Peoples R China
[2] Shenyang Univ Technol, Sch Management, Shenyang 110870, Peoples R China
[3] Yanbian Univ, Dept Math, Yanji 133001, Peoples R China
[4] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2021年 / 15卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Split common fixed point; variational inclusion; variational inequality; nonexpansive mappings; OPERATORS; MONOTONE;
D O I：
10.7153/jmi-2021-15-115
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a new iterative algorithm for finding a common element of the set of solutions of a split variational inequality problem, the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of a variational inclusion problem in Hilbert spaces. Under some mild conditions imposed on algorithm parameters, we prove that the proposed iterative algorithm have strong convergence.
引用
收藏
页码：1677 / 1693
页数：17
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