Convergence Theorem for Equilibrium Problems and Fixed Point Problems of Infinite Family of Nonexpansive Mappings

We introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpansive mappings in a Hilbert space. We prove a strong-convergence theorem under mild assumptions on parameters.

Bibliographic Details
Main Authors: Jen-Chih Yao, Yeong-Cheng Liou, Yonghong Yao
Format: Article
Language:English
Published: SpringerOpen 2007-12-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2007/64363