Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634482 | Applied Mathematics and Computation | 2008 | 13 Pages |
Abstract
Recently, Takahashi and Takahashi [S. Takahashi, W. Takahashi, Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces, J. Math. Anal. Appl., 2006, doi:10.1016/j.jmaa.2006.08.036] suggested and analyzed an 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. In this paper, we introduce a new 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 common fixed points of infinitely many nonexpansive mappings in a Hilbert space. Then, we prove a strong convergence theorem which is the improvements and extension of Takahashi and Takahashi's (2006) corresponding result. Using this theorem, we obtain two corollaries which improve and extend their corresponding results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lu-Chuan Ceng, Jen-Chih Yao,