Richard Avery, Johnny Henderson, Donal O'regan
Abstract:
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 email: rich.avery@dsu.edu |
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Johnny Henderson Department of Mathematics, Baylor University Waco, Texas 76798, USA email: Johnny_Henderson@baylor.edu |
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Donal O'regan Department of Mathematics National University of Ireland Galway, Ireland email: donal.oregan@nuigalway.ie |
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