Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 208434, 16 pages
doi:10.1155/2011/208434
Research Article

A Method for a Solution of Equilibrium Problem and Fixed Point Problem of a Nonexpansive Semigroup in Hilbert's Spaces

Nguyen Buong1 and Nguyen Dinh Duong2

1Vietnamese Academy of Science and Technology, Institute of Information Technology, 18 Hoang Quoc Viet Road, Cau Giay, Hanoi, Vietnam
2Department of Mathematics, Vietnam Maritime University, Hai Phong 35000, Vietnam

Received 3 October 2010; Accepted 13 January 2011

Academic Editor: Ljubomir B. Ciric

Copyright © 2011 Nguyen Buong and Nguyen Dinh Duong. 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 a viscosity approximation method for finding a common element of the set of solutions for an equilibrium problem involving a bifunction defined on a closed, convex subset and the set of fixed points for a nonexpansive semigroup on another one in Hilbert's spaces.