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