Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 49615, 6 pages
Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
1Department of Mathematics, Andhra University, Visakhapatnam, Andhra Pradesh 530 003, India
2Department of Mathematics, Dr. L. B. College, Andhra University, Visakhapatnam, Andhra Pradesh 530 013, India
Received 3 February 2005; Revised 31 March 2005; Accepted 19 April 2005
Copyright © 2006 G. V. R. Babu and K. N. V. V. Vara Prasad. 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.
The purpose of this paper is to show that the
Mann iteration converges faster than the Ishikawa iteration for
the class of Zamfirescu operators of an arbitrary closed convex
subset of a Banach space.