Open Access

-commuting maps and invariant approximations

Fixed Point Theory and Applications20062006:24543

DOI: 10.1155/FPTA/2006/24543

Received: 20 December 2005

Accepted: 4 April 2006

Published: 1 June 2006

Abstract

We obtain common fixed point results for generalized -nonexpansive -commuting maps. As applications, various best approximation results for this class of maps are derived in the setup of certain metrizable topological vector spaces.

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Authors’ Affiliations

(1)
Department of Mathematics, King Abdul Aziz University
(2)
Department of Mathematics, Indiana University

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Copyright

© N. Hussain and B. E. Rhoades. 2006

This article is published under license to BioMed Central Ltd. 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.