The Split Common Fixed Point Problem by the Hybrid Method for Families of New Demimetric Mappings in Banach Spaces

被引：0

作者：

Takahashi, Wataru ^{[1
,2
,3
,4
]}

Wen, Ching-Feng ^{[1
,2
]}

Yao, Jen-Chih ^{[5
]}

机构：

[1] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80708, Taiwan

[2] Kaohsiung Med Univ, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 80708, 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

[5] China Med Univ, Ctr Gen Educ, Taichung 4040, Taiwan

来源：

JOURNAL OF CONVEX ANALYSIS | 2020年 / 27卷 / 02期

基金：

日本学术振兴会;

关键词：

Split common fixed point problem; metric projection; metric resolvent; generalized demimetric mapping; hybrid method; STRONG-CONVERGENCE THEOREMS; MAXIMAL MONOTONE-OPERATORS; VARIATIONAL INEQUALITY PROBLEMS; SHRINKING PROJECTION METHOD; NONLINEAR MAPPINGS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACES; FINITE FAMILY; WEAK;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the split common fixed point problem for families of mappings in Banach spaces. Using the hybrid method, we prove two strong convergence theorems of finding a solution of the split common fixed point problem for families of generalized demimetric mappings in Banach spaces. We also apply these results to obtain well-known and new results for the split common fixed point problem in Banach spaces.

引用

页码：623 / 644

页数：22

共 37 条

[21]

Reich S., 1992, Bull. Amer. Math. Soc., V26, P367

[22] Forcing strong convergence of proximal point iterations in a Hilbert space [J].