## Abstract In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an __Ξ±__ βinverse strongly monotone mapping in a Hilbert space. We show that the sequence converge
Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
β Scribed by Xiaolong Qin; Yeol Je Cho; Shin Min Kang
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 577 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
The purpose of this paper is to introduce hybrid projection algorithms for finding a common element of the set of common fixed points of two quasi-Ο-nonexpansive mappings and the set of solutions of an equilibrium problem in the framework of Banach spaces. Our results improve and extend the corresponding results announced by many others.
π SIMILAR VOLUMES
We introduce a hybrid projection iterative scheme for approximating a common element of the set of solutions of a generalized mixed equilibrium problem and the set of fixed points of two quasi-Ο-nonexpansive mappings in a real uniformly convex and uniformly smooth Banach space. Then, we establish st