Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 296759, 16 pages
doi:10.1155/2010/296759
Research Article

Strong Convergence Theorem for Equilibrium Problems and Fixed Points of a Nonspreading Mapping in Hilbert Spaces

Somyot Plubtieng and Sukanya Chornphrom

Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Received 30 June 2010; Revised 10 October 2010; Accepted 13 December 2010

Academic Editor: Brailey Sims

Copyright © 2010 Somyot Plubtieng and Sukanya Chornphrom. 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

We introduce an iterative method for finding a common element of the set of solutions of equilibrium problems and the set of fixed points of a nonspreading mapping in a Hilbert space. Then, we prove a strong convergence theorem which is connected with the work of S. Takahashi and W. Takahashi (2007) and Iemoto and Takahashi (2009).