Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Pseudocontractive Mappings

It is our purpose, in this paper, to prove strong convergence of Halpern-Ishikawa iteration method to a common fixed point of finite family of Lipschitz pseudocontractive mappings. There is no compactness assumption imposed either on C or on T. The results obtained in this paper improve most of the...

Full description

Bibliographic Details
Main Authors: O. A. Daman, H. Zegeye
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/405315