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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

https://doi.org/10.1155/2008/242916

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

Abstract

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.

Keywords

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

Publisher note

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Authors’ Affiliations

(1)
Departamento de Matematicas, Universidad de los Andes, Carrera 1 No. 18A-10, Bogota, Colombia
(2)
The Institute of Numerical Analysis, P.O. Box 68-1, Cluj-Napoca, Romania
(3)
Department of Applied Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

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