Open Access

Comments on the Rate of Convergence between Mann and Ishikawa Iterations Applied to Zamfirescu Operators

Fixed Point Theory and Applications20082008:387504

DOI: 10.1155/2008/387504

Received: 16 November 2007

Accepted: 13 March 2008

Published: 27 March 2008

Abstract

In the work of Babu and Vara Prasad (2006), the claim is made that Mann iteration converges faster than Ishikawa iteration when applied to Zamfirescu operators. We provide an example to demonstrate that this claim is false.

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Authors’ Affiliations

(1)
Department of Mathematics, Hangzhou Normal University
(2)
Department of Mathematics, Indiana University

Copyright

© Y. Qing and B. E. Rhoades. 2008

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.