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Hybrid Projection Algorithms for Generalized Equilibrium Problems and Strictly Pseudocontractive Mappings

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.

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Correspondence to JongKyu Kim.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Kim, J., Cho, S. & Qin, X. Hybrid Projection Algorithms for Generalized Equilibrium Problems and Strictly Pseudocontractive Mappings. J Inequal Appl 2010, 312602 (2010). https://doi.org/10.1155/2010/312602

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

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