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

Nawab Hussain; Giuseppe Marino; Afrah A. N. Abdou

doi:10.1155/2014/152530

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2014 On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces

Nawab Hussain, Giuseppe Marino, Afrah A. N. Abdou

Abstr. Appl. Anal. 2014(SI71): 1-11 (2014). DOI: 10.1155/2014/152530

Abstract

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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Nawab Hussain. Giuseppe Marino. Afrah A. N. Abdou. "On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces." Abstr. Appl. Anal. 2014 (SI71) 1 - 11, 2014. https://doi.org/10.1155/2014/152530