Strong Convergence Theorems under Shrinking Projection Methods for Split Common Fixed Point Problems in Two Banach Spaces

被引：0
|
作者：
Takahashi, Wataru [1 ,2 ,3 ]
Yao, Jen-Chih [1 ]
机构：
[1] China Med Univ, Res Ctr Interneural Comp, Taichung, Taiwan
[2] Keio Univ, Keio Res & Educ Ctr Nat Sci, Yokohama, Kanagawa, Japan
[3] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo, Japan
来源：
JOURNAL OF CONVEX ANALYSIS | 2021年 / 28卷 / 04期
基金：
日本学术振兴会;
关键词：
Split common fixed point problem; fixed point; metric projection; generalized projection; metric resolvent; generalized resolvent; shrinking projection method; MAXIMAL MONOTONE-OPERATORS; NONLINEAR MAPPINGS; NONEXPANSIVE-MAPPINGS; FEASIBILITY PROBLEM; HYBRID MAPPINGS; WEAK; FAMILIES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We deal with the split common fixed point problem in two Banach spaces. Using the resolvents of maximal monotone operators, demimetric mappings, demigeneralized mappings in Banach spaces, we prove strong convergence theorems under shrinking projection methods for finding solutions of split common fixed point problems with zero points of maximal monotone operators in two Banach spaces. Using these results, we get new results which are connected with the split feasibility problem, the split common null point problem and the split common fixed point problem in Hilbert spaces and Banach spaces.
引用
收藏
页码：1097 / 1118
页数：22
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