Open Access

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

Fixed Point Theory and Applications20072007:060732

DOI: 10.1155/2007/60732

Received: 20 June 2007

Accepted: 14 September 2007

Published: 15 November 2007


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.


Authors’ Affiliations

Departamento de Matematicas, Universidad de Los Andes
Tiberiu Popoviciu Institute of Numerical Analysis


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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.