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

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.

Bibliographic Details
Main Authors: P. U. Nwokoro, F. O. Isiogugu, M. O. Osilike
Format: Article
Language:English
Published: SpringerOpen 2008-02-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2007/64306