WEAK AND STRONG CONVERGENCE THEOREMS FOR NONCOMMUTATIVE TWO GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES

被引：0
|
作者：
Takahashi, Wataru [1 ,2 ,3 ,4 ]
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
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2018年 / 19卷 / 05期
基金：
日本学术振兴会;
关键词：
Fixed point; attractive point; nonexpansive mapping; generalized hybrid mapping; Mann's iteration; Halpern's iteration; FIXED-POINT THEOREMS; NONEXPANSIVE-MAPPINGS; NONLINEAR MAPPINGS; BANACH-SPACES; APPROXIMATION; EXISTENCE;
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, we first obtain a weak convergence theorem of Mann's type iteration for noncommutative two generalized hybrid mappings in a Hilbert space. Next, we obtain a strong convergence theorem of Halpern's type iteration for the mappings in a Hilbert space. Using these results, we get new weak and strong convergence theorems in a Hilbert space.
引用
收藏
页码：867 / 880
页数：14
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