A cyclic iterative method for solving a class of variational inequalities in Hilbert spaces

被引：4

作者：

Truong Minh Tuyen ^{[1
]}

机构：

[1] Thainguyen Univ Sci, Dept Math & Informat, Thainguyen, Vietnam

来源：

OPTIMIZATION | 2018年 / 67卷 / 10期

关键词：

Variational inequality; sequence of nearly non-expansive mappings; common fixed point; common null point; STRONG-CONVERGENCE THEOREMS; COMMON FIXED-POINTS; VISCOSITY APPROXIMATION METHODS; NONEXPANSIVE-MAPPINGS; FINITE FAMILY; ACCRETIVE-OPERATORS; MONOTONE-OPERATORS; CONTRACTIONS; ALGORITHM; ROBUSTNESS;

D O I：

10.1080/02331934.2018.1502768

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The purpose of this paper is to introduce a new iterative method for solving a variational inequality over the set of common fixed points of a finite family of sequences of nearly non-expansive mappings in a real Hilbert space. And, using this result, we give some applications to the problem of finding a common fixed point of non-expansive mappings or non-expansive semigroups and the problem of finding a common null point of monotone operators.

引用

页码：1769 / 1796

页数：28

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