Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 90715, 11 pages
A Dual of the Compression-Expansion Fixed Point Theorems
1College of Arts and Sciences, Dakota State University, Madison, SD 57042, USA
2Department of Mathematics, Baylor University, Waco, TX 76798, USA
3Department of Mathematics, National University of Ireland, Galway, Ireland
Received 5 June 2007; Accepted 11 September 2007
Academic Editor: William Art Kirk
Copyright © 2007 Richard Avery et al. 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.
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.