Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 528307, 13 pages
Research Article

Strong Convergence Theorems by Hybrid Methods for Strict Pseudocontractions and Equilibrium Problems

College of Science, Civil Aviation University of China, Tianjin 300300, China

Received 21 December 2009; Accepted 9 May 2010

Academic Editor: Massimo Furi

Copyright © 2010 Peichao Duan and Jing Zhao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let {Si}i=1N be N strict pseudocontractions defined on a closed convex subset C of a real Hilbert space H. Consider the problem of finding a common element of the set of fixed point of these mappings and the set of solutions of an equilibrium problem with the parallel and cyclic algorithms. In this paper, we propose new iterative schemes for solving this problem and prove these schemes converge strongly by hybrid methods.