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

<p/> <p>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.<...

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Bibliographic Details
Main Authors: Liou Yeong-Cheng, Yao Jen-Chih, Yao Yonghong
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2007/064363