WEAK AND STRONG CONVERGENCE THEOREMS FOR TWO COMMUTATIVE NONLINEAR MAPPINGS IN HILBERT SPACES

被引：0
|
作者：
Hojo, Mayumi [1 ]
Takahashi, Wataru [2 ,3 ,4 ]
机构：
[1] Shibaura Inst Technol, Tokyo 1358548, 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：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2017年 / 18卷 / 08期
基金：
日本学术振兴会;
关键词：
Fixed point; generalized hybrid mapping; Hilbert space; nonexpansive mapping; 2-generalized hybrid mapping; hybrid method; shrinking projection method; FIXED-POINT THEOREMS; GENERALIZED HYBRID MAPPINGS; NONEXPANSIVE-MAPPINGS; ERGODIC-THEOREMS; BANACH-SPACES; APPROXIMATION; EXISTENCE; FAMILIES;
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 two commutative 2-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. Finally, we obtain two strong convergence theorems by the hybrid method and the shrinking projection method for two commutative 2-generalized hybrid mappings in a Hilbert space.
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页码：1519 / 1533
页数：15
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