Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 387504, 3 pages
Letter to the Editor

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

Yuan Qing1 and B. E. Rhoades2

1Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, Zhejiang, China
2Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA

Received 16 November 2007; Revised 8 February 2008; Accepted 13 March 2008

Copyright © 2008 Yuan Qing and B. E. Rhoades. 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.


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.