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  • Research Article
  • Open Access

Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators

Fixed Point Theory and Applications20062006:49615

https://doi.org/10.1155/FPTA/2006/49615

  • Received: 3 February 2005
  • Accepted: 19 April 2005
  • Published:

The Erratum to this article has been published in Fixed Point Theory and Applications 2006 2007:097986

Abstract

The purpose of this paper is to show that the Mann iteration converges faster than the Ishikawa iteration for the class of Zamfirescu operators of an arbitrary closed convex subset of a Banach space.

Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators http://dx.doi.org/10.1155/2007/97986

Keywords

  • Banach Space
  • Differential Geometry
  • Convex Subset
  • Computational Biology
  • Mann Iteration

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Notes

Authors’ Affiliations

(1)
Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh, 530 003, India
(2)
Department of Mathematics, Dr. L. B. College, Andhra University, Visakhapatnam, Andhra Pradesh, 530 013, India

References

  1. Berinde V: Iterative Approximation of Fixed Points. Editura Efemeride, Baia Mare; 2002:xii+283.MATHGoogle Scholar
  2. Berinde V: On the convergence of the Ishikawa iteration in the class of quasi contractive operators. Acta Mathematica Universitatis Comenianae. New Series 2004,73(1):119–126.MathSciNetMATHGoogle Scholar
  3. Berinde V: Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators. Fixed Point Theory and Applications 2004, (2):97–105.Google Scholar
  4. Berinde V: On the convergence of Mann iteration for a class of quasicontractive operators. in preparation, 2004Google Scholar
  5. Zamfirescu T: Fix point theorems in metric spaces. Archiv der Mathematik 1992, 23: 292–298.MathSciNetView ArticleMATHGoogle Scholar

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