Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 64306, 7 pages
Research Article

Hybrid Iteration Method for Fixed Points of Nonexpansive Mappings in Arbitrary Banach Spaces

M. O. Osilike, F. O. Isiogugu, and P. U. Nwokoro

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.