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  • Research Article
  • Open Access

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

Fixed Point Theory and Applications20072007:060732

  • Received: 20 June 2007
  • Accepted: 14 September 2007
  • Published:


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.


  • Differential Geometry
  • Computational Biology


Authors’ Affiliations

Departamento de Matematicas, Universidad de Los Andes, Carrera 1 no. 18A-10, Bogota, Colombia
Tiberiu Popoviciu Institute of Numerical Analysis, Cluj-Napoca, 400110, Romania


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© Ştefan M. Şoltuz 2007

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.