Open Access

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

Fixed Point Theory and Applications20082008:242916

DOI: 10.1155/2008/242916

Received: 13 February 2008

Accepted: 27 May 2008

Published: 1 June 2008

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.

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Authors’ Affiliations

(1)
Departamento de Matematicas, Universidad de los Andes
(2)
The Institute of Numerical Analysis
(3)
Department of Applied Mathematics, Babes-Bolyai University

Copyright

© 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.