Richard Avery, Johnny Henderson, Donal O'regan
This paper presents a generalization of the fixed point theorems of compression and expansion of functional type. As an application, the existence of a positive solution to a second order conjugate boundary value problem is considered. We conclude with an extension to multivalued maps.
Submitted January 31, 2008. Published February 22, 2008.
Math Subject Classifications: 47H10.
Key Words: Fixed-point theorems; cone; positive solutions; multivalued maps.
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| Richard Avery |
College of Arts and Sciences, Dakota State University
Madison, South Dakota 57042, USA
| Johnny Henderson |
Department of Mathematics, Baylor University
Waco, Texas 76798, USA
| Donal O'regan |
Department of Mathematics
National University of Ireland
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