Open Access

Common fixed point and invariant approximation results in certain metrizable topological vector spaces

Fixed Point Theory and Applications20062006:23582

https://doi.org/10.1155/FPTA/2006/23582

Received: 27 June 2005

Accepted: 6 September 2005

Published: 7 March 2006

Abstract

We obtain common fixed point results for generalized -nonexpansive -subweakly commuting maps on nonstarshaped domain. As applications, we establish noncommutative versions of various best approximation results for this class of maps in certain metrizable topological vector spaces.

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Authors’ Affiliations

(1)
Centre for Advanced Studies in Pure Applied Mathematics, Bahauddin Zakariya University
(2)
Department of Mathematics, Faculty of Science, King Abdul Aziz University
(3)
Department of Mathematics and Computer Science, Faculty of Sciences, North University of Baia Mare

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Copyright

© Hussain and Berinde 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.