Open Access Research Article

-commuting maps and invariant approximations

N Hussain1* and BE Rhoades2

Author Affiliations

1 Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

2 Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA

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Fixed Point Theory and Applications 2006, 2006:24543  doi:10.1155/FPTA/2006/24543


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2006/1/24543


Received: 20 December 2005
Revisions received: 29 March 2006
Accepted: 4 April 2006
Published: 1 June 2006

© 2006 Hussain and Rhoades

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 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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