Fixed point theorems for some new nonlinear mappings in Hilbert spaces

被引：6
|
作者：
Lin, Lai-Jiu [1 ]
Chuang, Chih-Sheng [1 ]
Yu, Zenn-Tsun [2 ]
机构：
[1] Natl Changhua Univ Educ, Dept Math, Changhua 50058, Taiwan
[2] Nan Kai Univ Technol, Dept Elect Engn, Nantour 542, Taiwan
来源：
FIXED POINT THEORY AND APPLICATIONS | 2011年
关键词：
nonspreading mapping; fixed point; demiclosed principle; ergodic theorem; nonexpansive mapping; NONSPREADING MAPPINGS; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; CONTRACTIONS; WEAK;
D O I：
10.1186/1687-1812-2011-51
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduced two new classes of nonlinear mappings in Hilbert spaces. These two classes of nonlinear mappings contain some important classes of nonlinear mappings, like nonexpansive mappings and nonspreading mappings. We prove fixed point theorems, ergodic theorems, demiclosed principles, and Ray's type theorem for these nonlinear mappings. Next, we prove weak convergence theorems for Moudafi's iteration process for these nonlinear mappings. Finally, we give some important examples for these new nonlinear mappings.
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页数：16
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