Open Access Research Article

Approximating fixed points of total asymptotically nonexpansive mappings

YaI Alber1*, CE Chidume2 and H Zegeye2

Author Affiliations

1 Department of Mathematics, The Technion-Israel Institute of Technology, Haifa 32000, Israel

2 The Abdus Salam International Centre for Theoretical Physics, Trieste 34014, Italy

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Fixed Point Theory and Applications 2006, 2006:10673  doi:10.1155/FPTA/2006/10673


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2006/1/10673


Received:10 March 2005
Revisions received:7 August 2005
Accepted:28 August 2005
Published:2 March 2006

© 2006 Alber et al.

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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 consider the asymptotically weakly contractive mappings.

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