Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 896252, 34 pages
Iterative Schemes for Generalized Equilibrium Problem and Two Maximal Monotone Operators
1Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
2Science Computing Key Laboratory of Shanghai Universities, Shanghai 200234, China
3Department of Occupational Safety and Health, China Medical University, Taichung 404, Taiwan
4Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan
Received 20 July 2009; Accepted 27 October 2009
Academic Editor: Yeol Je Cho
Copyright © 2009 L. C. Zeng et al. 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.
The purpose of this paper is to introduce and study two new hybrid proximal-point algorithms for finding a common element of the set of solutions to a generalized equilibrium
problem and the sets of zeros of two maximal monotone operators in a uniformly smooth
and uniformly convex Banach space. We established strong and weak convergence theorems
for these two modified hybrid proximal-point algorithms, respectively.