FIXED POINT AND MEAN ERGODIC THEOREMS FOR NEW NONLINEAR MAPPINGS IN HILBERT SPACES

被引：0

作者：

Maruyama, Toru ^{[1
]}

Takahashi, Wataru ^{[1
,2
]}

Yao, Masayuki ^{[3
]}

机构：

[1] Keio Univ, Dept Econ, Minato Ku, Tokyo 1088345, Japan

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan

[3] Keio Univ, Grad Sch Econ, Minato Ku, Tokyo 1088345, Japan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 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; WEAK-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; HYBRID MAPPINGS; 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 consider a broad class of nonlinear mappings containing the class of generalized hybrid mappings defined by Kocourek, Takahashi and Yao [11] in a Hilbert space. Then, we prove a fixed point theorem, a mean ergodic theorem of Baillon's type [2] and a weak convergence theorem of Mann's type [14] for these nonlinear mappings in a Hilbert space.

引用

页码：185 / 197

页数：13

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