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.
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页码：281 / 287
页数：7
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