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The Equivalence between -Stabilities of The Krasnoselskij and The Mann Iterations

Fixed Point Theory and Applications volume 2007, Article number: 060732 (2007) Cite this article

Abstract

We prove the equivalence between the -stabilities of the Krasnoselskij and the Mann iterations; a consequence is the equivalence with the -stability of the Picard-Banach iteration.

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References

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Authors and Affiliations

  1. Departamento de Matematicas, Universidad de Los Andes, Carrera 1 no. 18A-10, Bogota, Colombia

    Ştefan M Şoltuz

  2. Tiberiu Popoviciu Institute of Numerical Analysis, Cluj-Napoca, 400110, Romania

    Ştefan M Şoltuz

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  1. Ştefan M Şoltuz
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Correspondence to Ştefan M Şoltuz.

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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.M. The Equivalence between -Stabilities of The Krasnoselskij and The Mann Iterations. Fixed Point Theory Appl 2007, 060732 (2007). https://doi.org/10.1155/2007/60732

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  • DOI: https://doi.org/10.1155/2007/60732

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