Douglas R. Anderson, Richard I. Avery, Johnny Henderson
Abstract:
This paper presents a fixed point theorem of compression
and expansion of functional type in the spirit of the original
fixed point work of Leggett-Williams. Neither the entire
lower nor the entire upper boundary is required to be mapped
inward or outward.
Submitted November 19, 2009. Published May 5, 2010.
Math Subject Classifications: 47H10.
Key Words: Fixed-point theorems; Leggett-Williams; expansion;
compression; positive solutions.
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Douglas R. Anderson Department of Mathematics and Computer Science Concordia College, Moorhead, MN 56562 USA email: andersod@cord.edu |
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Richard I. 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, TX 76798 USA email: Johnny_Henderson@baylor.edu |
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