Fixed Point Theory and Applications 
Volume 2007 (2007), Article ID 60732, 7 pages
doi:10.1155/2007/60732
Research Article

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

Ştefan M. Şoltuz1,2

 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

Recommended by Hichem Ben-El-Mechaiekh

Abstract

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