International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 491357, 13 pages
doi:10.1155/2010/491357
Strong convergence theorems for equilibrium problems and fixed point problems in Hilbert spaces
Jian-Wen Peng1
and Yan Wang2
1College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China
2Division of Mathematics, Yibin No. 3 Middle School, Yibin, Sichuan 644000, China
Abstract
We introduce an Ishikawa iterative scheme by the viscosity approximate method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in Hilbert space. Then, we prove some strong convergence theorems which extend and generalize S. Takahashi and W. Takahashi's results (2007).