<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>C</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:math>-commuting maps and invariant approximations

Hussain, N.; Rhoades, B. E.

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Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 24543, 9 pages
doi:10.1155/FPTA/2006/24543

Cq-commuting maps and invariant approximations

N. Hussain¹ and B. E. Rhoades²

¹Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
²Department of Mathematics, Indiana University, Bloomington 47405-7106, IN, USA

Received 20 December 2005; Revised 29 March 2006; Accepted 4 April 2006

Copyright © 2006 N. Hussain and B. E. 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.

Abstract

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