Fixed Point Theory and Applications 
Volume 2008 (2008), Article ID 387504, 3 pages
doi:10.1155/2008/387504
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

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.