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.
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页码：185 / 197
页数：13
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