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  • Letter to the Editor
  • Open Access

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

Fixed Point Theory and Applications20102010:805326

https://doi.org/10.1155/2010/805326

  • Received: 25 September 2009
  • Accepted: 18 January 2010
  • Published:

Abstract

In the paper by Hu in 2008, the author proved a strong convergence result for nonexpansive mappings using a modified Halpern's iteration algorithm. Unfortunately, the case does not guarantee the strong convergence of the sequence . In this note, we provide a counter-example to the theorem.

Keywords

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

Publisher note

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Authors’ Affiliations

(1)
Department of Mathematics, Hubei Normal University, Huangshi, 435002, China

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