Open Access

Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators

Fixed Point Theory and Applications20042004:716359

DOI: 10.1155/S1687182004311058

Received: 20 November 2003

Published: 7 June 2004

Abstract

In the class of quasi-contractive operators satisfying Zamfirescu's conditions, the most used fixed point iterative methods, that is, the Picard, Mann, and Ishikawa iterations, are all known to be convergent to the unique fixed point. In this paper, the comparison of the first two methods with respect to their convergence rate is obtained.

Authors’ Affiliations

(1)
Department of Mathematics and Computer Science, North University of Baia Mare

Copyright

© Berinde 2004