Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 60732, 7 pages
The Equivalence between -Stabilities of The Krasnoselskij and The
1Departamento de Matematicas, Universidad de Los Andes, Carrera 1 no. 18A-10, Bogota, Colombia
2Tiberiu Popoviciu Institute of Numerical Analysis, Cluj-Napoca 400110, Romania
Received 20 June 2007; Accepted 14 September 2007
Academic Editor: Hichem Ben-El-Mechaiekh
Copyright © 2007 Ştefan M. Şoltuz. 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.
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.