Fixed Point Theory and Applications
Volume 2006 (2006), Issue 1, Pages Article 49615, 6 p.
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
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.