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Convergence theorems of common elements for equilibrium problems and fixed point problems

✍ Scribed by Li Juan Zhang; Hui Tong


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2012
Tongue
English
Weight
170 KB
Volume
28
Category
Article
ISSN
1439-7617

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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 correspo

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## 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