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  • Research Article
  • Open Access

Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators

Fixed Point Theory and Applications20082008:242916

  • Received: 13 February 2008
  • Accepted: 27 May 2008
  • Published:


We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example is given, in which instead of computing the fixed point of an operator, we approximate the operator with a contractive-like one. For which it is possible to compute the fixed point, and therefore to approximate the fixed point of the initial operator.


  • Differential Geometry
  • Convergence Result
  • Computational Biology
  • Data Dependence
  • Full Article

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Authors’ Affiliations

Departamento de Matematicas, Universidad de los Andes, Carrera 1 No. 18A-10, Bogota, Colombia
The Institute of Numerical Analysis, P.O. Box 68-1, Cluj-Napoca, Romania
Department of Applied Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


© Ş. M. Şoltuz and T. Grosan. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.