FIXED POINT THEOREMS AND WEAK CONVERGENCE THEOREMS FOR GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES

被引：215

作者：

Kocourek, Pavel ^{[1
]}

Takahashi, Wataru ^{[1
]}

Yao, Jen-Chih ^{[1
]}

机构：

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

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 06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; NONEXPANSIVE-MAPPINGS; NONLINEAR MAPPINGS; OPERATORS;

D O I：

10.11650/twjm/1500406086

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we first consider a broad class of nonlinear mappings containing the classes of nonexpansive mappings, nonspreading mappings, and hybrid mappings in a Hilbert space. Then, we deal with fixed point theorems and weak convergence theorems for these nonlinear mappings in a Hilbert space.

引用

页码：2497 / 2511

页数：15

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