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

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

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.

Suggested Citation

  • Nawab Hussain & Giuseppe Marino & Afrah A. N. Abdou, 2014. "On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, July.
    • Handle: RePEc:hin:jnlaaa:152530
    DOI: 10.1155/2014/152530
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