Journal of Inequalities and Applications
Volume 2011 (2011), Article ID 173430, 15 pages
Research Article

An Application of Hybrid Steepest Descent Methods for Equilibrium Problems and Strict Pseudocontractions in Hilbert Spaces

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

Received 9 December 2010; Accepted 13 February 2011

Academic Editor: Shusen Ding

Copyright © 2011 Ming Tian. 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.


We use the hybrid steepest descent methods for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a strict pseudocontraction mapping in the setting of real Hilbert spaces. We proved strong convergence theorems of the sequence generated by our proposed schemes.