Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 64306, 7 pages
Hybrid Iteration Method for Fixed Points of Nonexpansive Mappings in Arbitrary Banach Spaces
Department of Mathematics, University of Nigeria, Nsukka, Nigeria
Received 20 June 2007; Accepted 23 November 2007
Academic Editor: Nanjing Huang
Copyright © 2007 M. O. Osilike et al. 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.
We prove that recent results of Wang (2007)
concerning the iterative approximation of fixed points of nonexpansive mappings
using a hybrid iteration method in Hilbert spaces can be extended to
arbitrary Banach spaces without the strong monotonicity assumption imposed
on the hybrid operator.