WEAK AND STRONG MEAN CONVERGENCE THEOREMS FOR SUPER HYBRID MAPPINGS IN HILBERT SPACES

被引：0

作者：

Hojo, Mayumi ^{[2
]}

Takahashi, Wataru ^{[1
]}

Yao, Jen-Chih ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] Niigata Univ, Grad Sch Sci & Technol, Niigata 95021, Japan

来源：

FIXED POINT THEORY | 2011年 / 12卷 / 01期

基金：

日本学术振兴会;

关键词：

Hilbert space; nonexpansive mapping; nonspreading mapping; hybrid mapping; fixed point; mean convergence; FIXED-POINT THEOREMS; NONEXPANSIVE-MAPPINGS; NONLINEAR MAPPINGS; APPROXIMATION; OPERATORS;

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 introduce a class of nonlinear mappings called extended hybrid in a Hilbert space containing the class of generalized hybrid mappings. The class is different from the class of super hybrid mappings which Was defined by Kocourek, Takahashi and Yao [12]. We prove a fixed point theorem for generalized hybrid nonself-mapping in a Hilbert space. Next, we prove a nonlinear ergodic theorem of Baillon's type for super hybrid mappings in a Hilbert space. Finally, we deal with two strong convergence theorems of Halpern's type for these nonlinear mappings in a Hilbert space.

引用

页码：113 / 126

页数：14

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