Fixed point theorems for mappings with condition (B)

Fixexd point theory and applications

Zenn-Tsun Yu¹  Chih-Sheng Chuang²  Lai-Jiu Lin² 

[1] Department of Electronic Engineering, Nan Kai University of Technology, Nantour, Taiwan;Department of Mathematics, National Changhua University of Education, Changhua, Taiwan

关键词: fixed point;    equilibrium problem;    Banach limit;    generalized hybrid mapping;    projection;   

DOI  :  10.1186/1687-1812-2011-92

学科分类：数学（综合）

来源: SpringerOpen

【 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).

【 授权许可】

CC BY