On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces

Nawab Hussain, Giuseppe Marino, Afrah A. N. Abdou · Abstract and Applied Analysis · 2014

In the setting of Hilbert spaces, inspired by Iemoto and Takahashi (2009), 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.

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