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Open Access

Hybrid Projection Algorithms for Generalized Equilibrium Problems and Strictly Pseudocontractive Mappings

Journal of Inequalities and Applications20102010:312602

https://doi.org/10.1155/2010/312602

Received: 12 October 2009

Accepted: 19 July 2010

Published: 3 August 2010

Abstract

The purpose of this paper is to consider the problem of finding a common element in the solution set of equilibrium problems and in the fixed point set of a strictly pseudocontractive mapping. Strong convergence of the purposed hybrid projection algorithm is obtained in Hilbert spaces.

Keywords

Hilbert SpaceEquilibrium ProblemGeneralize EquilibriumStrong ConvergenceCommon Element

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Authors’ Affiliations

(1)
Department of Mathematics Education, Kyungnam University, Masan, Republic of Korea
(2)
Department of Mathematics, Gyeongsang National University, Chinju, Republic of Korea
(3)
Department of Mathematics, Hangzhou Normal University, Hangzhou, China

Copyright

© Jong Kyu Kim et al. 2010

This article is published under license to BioMed Central Ltd. 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.

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