Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 312602, 18 pages
doi:10.1155/2010/312602
Research Article

Hybrid Projection Algorithms for Generalized Equilibrium Problems and Strictly Pseudocontractive Mappings

Jong Kyu Kim,1 Sun Young Cho,2 and Xiaolong Qin3

1Department of Mathematics Education, Kyungnam University, Masan 631-701, Republic of Korea
2Department of Mathematics, Gyeongsang National University, Chinju 660-701, Republic of Korea
3Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China

Received 12 October 2009; Accepted 19 July 2010

Academic Editor: András Rontó

Copyright © 2010 Jong Kyu Kim et al. 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

The purpose of this paper is to consider the problem of finding a common element in the solution set of equilibrium problems and in the fixed point set of a strictly pseudocontractive mapping. Strong convergence of the purposed hybrid projection algorithm is obtained in Hilbert spaces.