STRONG CONVERGENCE THEOREMS BY SHRINKING PROJECTION METHODS FOR GENERALIZED SPLIT FEASIBILITY PROBLEMS IN HILBERT SPACES

被引：0

作者：

Komiya, Hidetoshi ^{[1
]}

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

机构：

[1] Keio Univ, Fac Business & Commerce, Kouhoku Ku, Yokohama, Kanagawa 2238521, Japan

[2] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80702, Taiwan

[3] Keio Univ, Keio Res & Educ Ctr Nat Sci, Kouhoku Ku, Yokohama, Kanagawa 2238521, Japan

[4] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

来源：

PACIFIC JOURNAL OF OPTIMIZATION | 2016年 / 12卷 / 01期

基金：

日本学术振兴会;

关键词：

maximal monotone operator; inverse strongly monotone mapping; fixed point; strong convergence theorem; hybrid method; equilibrium problem; split feasibility problem; FIXED-POINT THEOREMS; NONEXPANSIVE-MAPPINGS; MONOTONE MAPPINGS; EQUILIBRIUM PROBLEMS; NONLINEAR MAPPINGS; HYBRID MAPPINGS; OPERATORS; WEAK;

D O I：

暂无

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 new generalized split feasibility problems and then obtain two strong convergence theorems by shrinking projection methods in Hilbert spaces. As applications, we get new strong convergence theorems which are connected with the split feasibility problem and an equilibrium problem.

引用

页码：1 / 17

页数：17

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