Open Access

A Dual of the Compression-Expansion Fixed Point Theorems

Fixed Point Theory and Applications20072007:090715

https://doi.org/10.1155/2007/90715

Received: 5 June 2007

Accepted: 11 September 2007

Published: 15 November 2007

Abstract

This paper presents a dual of the fixed point theorems of compression and expansion of functional type as well as the original Leggett-Williams fixed point theorem. The multi-valued situation is also discussed.

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Authors’ Affiliations

(1)
College of Arts and Sciences, Dakota State University
(2)
Department of Mathematics, Baylor University
(3)
Department of Mathematics, National University of Ireland

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Copyright

© Richard Avery et al. 2007

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.