Viscosity Approximations by the Shrinking Projection Method of Quasi‐Nonexpansive Mappings for Generalized Equilibrium Problems

Rabian Wangkeeree and Nimit Nimana

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/235474

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:235474

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