Fixed point theorems for mappings with condition (B)
1 Department of Mathematics, National Changhua University of Education, Changhua 50058, Taiwan
2 Department of Electronic Engineering, Nan Kai University of Technology, Nantour 54243, Taiwan
Fixed Point Theory and Applications 2011, 2011:92 doi:10.1186/1687-1812-2011-92Published: 2 December 2011
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).