Algorithms of Common Solutions for Mixed Equilibrium Problems and Fixed Point Problems
Jinhua Zhu · Journal of Sichuan Normal University · 2012
Very recently,reference(J.Comput.Appl.Math.,2008,214:186-201.) introduced an iterative algorithm for finding a common element of a mixed equilibrium problem and the set of common fixed points for an infinite of nonexpansive mappings.Motivated and inspired by them,in this paper we present an iterative scheme for finding a common element of the set of solutions of a system of mixed equilibrium problems and the set of common fixed point for a family of infinitely nonexpansive mappings in Hilbert spaces.Under suitable conditions,the strong convergence theorem for approximating to this common element is proved.The results given in the article are new which extend and improve some recent results.