𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces

✍ 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

No coin nor oath required. For personal study only.

✦ 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.


πŸ“œ SIMILAR VOLUMES


Convergence theorems for fixed point pro
✍ Yonghong Yao; Yeong-Cheng Liou; Rudong Chen πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 114 KB

## 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±__ ‐inverse strongly monotone mapping in a Hilbert space. We show that the sequence converge

A hybrid projection method for generaliz
✍ Narin Petrot; Kriengsak Wattanawitoon; Poom Kumam πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier 🌐 English βš– 381 KB

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