Viscosity approximations by the shrinking projection method of quasi-nonexpansive mappings for generalized equilibrium problems
Summary: We introduce viscosity approximations by using the shrinking projection method established by \textit{W. Takahashi}, \textit{Y. Takeuchi} and \textit{R. Kubota} [J. Math. Anal. Appl. 341, No. 1, 276--286 (2008; Zbl 1134.47052)] for finding a common element of the set of solutions of a 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 a generalized equilibrium problem and the set of fixed points of super hybrid mappings in Hilbert spaces.
scientific article; zbMATH DE number 6106142
scientific article