Approximating fixed points of total asymptotically nonexpansive mappings

We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also conside...

Full description

Bibliographic Details
Main Authors: H. Zegeye, C. E. Chidume, Ya. I. Alber
Format: Article
Language:English
Published: SpringerOpen 2006-03-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/FPTA/2006/10673