Fixed point theorems for mappings with condition (B)

被引:2
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 54243, Taiwan
关键词
fixed point; equilibrium problem; Banach limit; generalized hybrid mapping; projection; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; NONLINEAR MAPPINGS; HILBERT-SPACES; BANACH-SPACES; OPERATOR-EQUATIONS; ERGODIC-THEOREMS; HYBRID MAPPINGS; ISHIKAWA; ERRORS;
D O I
10.1186/1687-1812-2011-92
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, a new type of mappings that satisfies condition (B) is introduced. We study Pazy's type fixed point theorems, demiclosed principles, and ergodic theorem for mappings with condition (B). Next, we consider the weak convergence theorems for equilibrium problems and the fixed points of mappings with condition (B).
引用
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页数:16
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