ATTRACTIVE POINT THEOREMS AND ERGODIC THEOREMS FOR NONLINEAR MAPPINGS IN HILBERT SPACES

被引：16
|
作者：
Lin, Lai-Jiu [1 ]
Takahashi, Wataru [1 ,2 ]
机构：
[1] Natl Changhua Univ Educ, Dept Math, Changhua, Taiwan
[2] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 05期
基金：
日本学术振兴会;
关键词：
Attractive point; Banach limit; Fixed point; Generalized hybrid mapping; Hilbert space; Nonexpansive mapping; 2-Generalized hybrid mapping; GENERALIZED HYBRID MAPPINGS; WEAK-CONVERGENCE THEOREMS; FIXED-POINT; NONEXPANSIVE-MAPPINGS; SEMIGROUP; OPERATORS;
D O I：
10.11650/twjm/1500406795
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, using Banach limits, we study attractive points and fixed points of nonlinear mappings in Hilbert spaces. Then we obtain attractive point theorems and fixed point theorems for nonlinear mappings in Hilbert spaces. Using these results, we finally prove a nonlinear ergodic theorem for 2-generalized hybrid mappings in Hilbert spaces.
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页码：1763 / 1779
页数：17
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