Hybrid iterative scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings |
| |
Authors: | Atid Kangtunyakarn Suthep Suantai |
| |
Institution: | Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand |
| |
Abstract: | In this paper, we introduce a new mapping and a Hybrid iterative scheme for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a Hilbert space. Then, we prove the strong convergence of the proposed iterative algorithm to a common fixed point of a finite family of nonexpansive mappings which is a solution of the generalized equilibrium problem. The results obtained in this paper extend the recent ones of Takahashi and Takahashi S. Takahashi, W. Takahashi, Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space, Nonlinear Anal. 69 (2008) 1025–1033]. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|