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

Rabian Wangkeeree, Nimit Nimana · Journal of Applied Mathematics · 2012

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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