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