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

被引：55
|
作者：
Takahashi, Wataru [2 ]
Yao, Jen-Chih [1 ]
机构：
[1] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 80707, Taiwan
[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 02期
基金：
日本学术振兴会;
关键词：
Nonexpansive mapping; Nonspreading mapping; Equilibrium problem; Fixed point; Mean convergence; Hilbert space; CONVERGENCE; OPERATORS;
D O I：
10.11650/twjm/1500406216
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first consider classes of nonlinear mappings containing the class of firmly nonexpansive mappings which can be deduced from an equilibrium problem in a Hilbert space. Further, we deal with fixed point theorems and ergodic theorems for these nonlinear mappings.
引用
收藏
页码：457 / 472
页数：16
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