Fixed Point Theory and Applications 
Volume 2007 (2007), Article ID 64306, 7 pages
doi:10.1155/2007/64306
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

Recommended by Nanjing Huang

Abstract

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.