On Mann's method with viscosity for nonexpansive and nonspreading mappings in Hilbert spaces
Summary: In the setting of Hilbert spaces, inspired by \textit{S. Iemoto} and \textit{W. Takahashi} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e2082--e2089 (2009; Zbl 1239.47054)], we study a Mann's method with viscosity to approximate strongly (common) fixed points of a nonexpansive mapping and a nonspreading mapping. A crucial tool in our results is the nonspreading-average type mapping.
scientific article; zbMATH DE number 7021817
scientific article