Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 95412, 9 pages
doi:10.1155/2007/95412
A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces
Meijuan Shang1
, Yongfu Su1
and Xiaolong Qin3
1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
3Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
Abstract
We introduce a general iterative scheme by the viscosity approximation 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 a Hilbert space. Our results improve and extend the corresponding ones announced by S. Takahashi and W. Takahashi in 2007, Marino and Xu in 2006, Combettes and Hirstoaga in 2005, and many others.