Journal of Applied Mathematics
Volume 2012 (2012), Article ID 812783, 10 pages
http://dx.doi.org/10.1155/2012/812783
Research Article

Approximation of Solutions of an Equilibrium Problem in a Banach Space

Hecai Yuan1 and Guohong Shi2

1School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
2College of Science, Hebei University of Engineering, Handan 056038, China

Received 15 December 2011; Accepted 4 February 2012

Academic Editor: Rudong Chen

Copyright © 2012 Hecai Yuan and Guohong Shi. 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.

Abstract

An equilibrium problem is investigated based on a hybrid projection iterative algorithm. Strong convergence theorems for solutions of the equilibrium problem are established in a strictly convex and uniformly smooth Banach space which also enjoys the Kadec-Klee property.