Open Access

Fixed Point Theorems for Middle Point Linear Operators in

Fixed Point Theory and Applications20082008:648591

DOI: 10.1155/2008/648591

Received: 3 February 2008

Accepted: 8 September 2008

Published: 22 September 2008

Abstract

We introduce the notion of middle point linear operators. We prove a fixed point result for middle point linear operators in . We then present some examples and, as an application, we derive a Markov-Kakutani type fixed point result for commuting family of -nonexpansive and middle point linear operators in .

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Authors’ Affiliations

(1)
Fachbereich Mathematik, Universität Duisburg-Essen
(2)
Dipartimento di Matematica e Informatica, Università di Perugia

Copyright

© M. Chermisi and A. Martellotti. 2008

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.