The split common null point problem and the shrinking projection method in Banach spaces

被引：98

作者：

Takahashi, Satoru ^{[1
]}

Takahashi, Wataru ^{[2
,3
,4
]}

机构：

[1] Yokohama Publishers, Yokohama, Kanagawa, Japan

[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[3] Keio Univ, Keio Res & Educ Ctr Nat Sci, Kouhoku Ku, Tokyo 108, Japan

[4] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo, Japan

来源：

OPTIMIZATION | 2016年 / 65卷 / 02期

基金：

日本学术振兴会;

关键词：

split common null point problem; maximal monotone operator; fixed point; metric resolvent; shrinking projection method; duality mapping; 47H05; 47H09; HILBERT-SPACES; CONVERGENCE; OPERATORS; MAPPINGS;

D O I：

10.1080/02331934.2015.1020943

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：

In this paper, we consider the split common null point problem with resolvents of maximal monotone operators in Banach spaces. Then, using the shrinking projection method, we prove a strong convergence theorem for finding a solution of the split common null point problem in Banach spaces.

引用

页码：281 / 287

页数：7

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