Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 714939, 15 pages
doi:10.1155/2008/714939
Viscosity approximation methods for generalized mixed equilibrium problems and fixed points of a sequence of nonexpansive mappings
Wei-You Zeng1
, Nan-Jing Huang1
and Chang-Wen Zhao3
1Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China
3College of Business and Management, Sichuan University, Chengdu, Sichuan 610064, China
Abstract
We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of common solutions for generalized mixed equilibrium problems and the set of common fixed points of a sequence of nonexpansive mappings in Hilbert spaces. We show a strong convergence theorem under some suitable conditions.