Fixed Point Theory and Applications 
Volume 2006 (2006), Article ID 49615, 6 pages
doi:10.1155/FPTA/2006/49615

Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators

G. V. R. Babu1 and K. N. V. V. Vara Prasad2

 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

Abstract

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.