STRONG CONVERGENCE THEOREMS BY HYBRID METHODS FOR SOLVING SPLIT COMMON FIXED POINT PROBLEMS IN HILBERT SPACES AND APPLICATIONS

被引：0
|
作者：
Hojo, Mayumi [1 ]
Takahashi, Wataru [2 ,3 ,4 ]
机构：
[1] Shibaura Inst Technol, Coll Engn, Minuma Ku, 307 Fukasaku, Saitama 3378570, Japan
[2] China Med Univ, Res Ctr Interneural Comp, Taichung 40447, 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：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2020年 / 21卷 / 11期
基金：
日本学术振兴会;
关键词：
Split common fixed point problem; common fixed point; generalized hybrid mapping; maximal monotone mapping; resolvent; MAXIMAL MONOTONE-OPERATORS; NONEXPANSIVE-MAPPINGS; NONLINEAR MAPPINGS; WEAK; APPROXIMATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, using the hybrid method defined by Nakajo and Takahashi and the shrinking projection method defined by Takahashi, Yakeuchi and Kubota, we prove two strong convergence theorems for solving the split common fixed point problem with finding a zero point of a maximal monotone mapping in Hilbert s paces. In two theorems, we use general nonlinear mappings, that is, inverse strongly monotone mappings and general hybrid mapping in Hilbert spaces. by two hybrid methods for the problems. As applications, we get new strong convergence theorems which are connected with the split fixed point problem and the equilibrium problem.
引用
收藏
页码：2499 / 2516
页数：18
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