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  • Research Article
  • Open Access

Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings

Fixed Point Theory and Applications20082008:649162

https://doi.org/10.1155/2008/649162

  • Received: 12 September 2008
  • Accepted: 9 December 2008
  • Published:

Abstract

The purpose of this paper is to consider that a modified Halpern's iterative sequence converges strongly to a fixed point of nonexpansive mappings in Banach spaces which have a uniformly Gâteaux differentiable norm. Our result is an extension of the corresponding results.

Keywords

  • Differential Geometry
  • Nonexpansive Mapping
  • Strong Convergence
  • Computational Biology
  • Full Article

Publisher note

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Authors’ Affiliations

(1)
Department of Mathematics, Ningbo University, Ningbo, 315211, China

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