Common zero point for a finite family of inclusion problems of accretive mappings in Banach spaces

被引：112

作者：

Chang, Shih-sen ^{[1
]}

Wen, Ching-Feng ^{[2
,3
]}

Yao, Jen-Chih ^{[1
,3
]}

机构：

[1] China Med Univ, Ctr Gen Educ, Taichung, Taiwan

[2] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung, Taiwan

[3] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung, Taiwan

来源：

OPTIMIZATION | 2018年 / 67卷 / 08期

关键词：

Convex minimization problem; accretive operator; inclusion problems of accretive operators; zero point problem; splitting method; STRONG-CONVERGENCE THEOREMS; BACKWARD SPLITTING METHOD; NONEXPANSIVE-MAPPINGS; MONOTONE-OPERATORS; APPROXIMATION METHODS; HILBERT-SPACES; FIXED-POINTS; ALGORITHMS; SUM;

D O I：

10.1080/02331934.2018.1470176

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 article is to propose a splitting algorithm for finding a common zero of a finite family of inclusion problems of accretive operators in Banach space. Under suitable conditions, some strong convergence theorems of the sequence generalized by the algorithm to a common zero of the inclusion problems are proved. Some applications to the convex minimization problem, common fixed point problem of a finite family of pseudocontractive mappings, and accretive variational inequality problem in Banach spaces are presented.

引用

页码：1183 / 1196

页数：14

共 25 条

[1]

[Anonymous], 1970, Analytic Inequalities

[2] PROPERTIES OF FIXED-POINT SETS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES [J].