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

Fixed Point Theory and Applications volume 2008, Article number: 242916 (2008) Cite this article

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 and Affiliations

  1. Departamento de Matematicas, Universidad de los Andes, Carrera 1 No. 18A-10, Bogota, Colombia

    ŞM Şoltuz

  2. The Institute of Numerical Analysis, P.O. Box 68-1, Cluj-Napoca, Romania

    ŞM Şoltuz

  3. Department of Applied Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

    Teodor Grosan

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  1. ŞM Şoltuz
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  2. Teodor Grosan
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Correspondence to Teodor Grosan.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Şoltuz, Ş., Grosan, T. Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators. Fixed Point Theory Appl 2008, 242916 (2008). https://doi.org/10.1155/2008/242916

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

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