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2012 Viscosity Approximations by the Shrinking Projection Method of Quasi-Nonexpansive Mappings for Generalized Equilibrium Problems
Rabian Wangkeeree, Nimit Nimana
J. Appl. Math. 2012(SI06): 1-30 (2012). DOI: 10.1155/2012/235474

Abstract

We introduce viscosity approximations by using the shrinking projection method established by Takahashi, Takeuchi, and Kubota, for finding a common element of the set of solutions of the generalized equilibrium problem and the set of fixed points of a quasi-nonexpansive mapping. Furthermore, we also consider the viscosity shrinking projection method for finding a common element of the set of solutions of the generalized equilibrium problem and the set of fixed points of the super hybrid mappings in Hilbert spaces.

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Rabian Wangkeeree. Nimit Nimana. "Viscosity Approximations by the Shrinking Projection Method of Quasi-Nonexpansive Mappings for Generalized Equilibrium Problems." J. Appl. Math. 2012 (SI06) 1 - 30, 2012. https://doi.org/10.1155/2012/235474

Information

Published: 2012
First available in Project Euclid: 3 January 2013

MathSciNet: MR2979417
zbMATH: 1251.47061
Digital Object Identifier: 10.1155/2012/235474

Rights: Copyright © 2012 Hindawi

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Vol.2012 • No. SI06 • 2012
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