Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 462489, 12 pages
doi:10.1155/2009/462489
Strong convergence theorems for countable Lipschitzian mappings and its applications in equilibrium and optimization problems
Liping Yang1
and Yongfu Su2
1Department of Fundamental, Tianjin Institute of Urban Construction, Tianjin 300384, China
2Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
Abstract
The purpose of this paper is to propose a modified hybrid method in mathematical programming and to obtain some strong convergence theorems for common fixed points of a countable family of Lipschitzian mappings. Further, we apply our results to solve the equilibrium and optimization problems. The results of this paper improved and extended the results of W. Nilsrakoo and S. Saejung (2008) and some others in some respects.