Douglas R. Anderson, Richard I. Avery, Johnny Henderson
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
| Richard I. Avery |
College of Arts and Sciences, Dakota State University
Madison, South Dakota 57042 USA
| Johnny Henderson |
Department of Mathematics, Baylor University
Waco, TX 76798 USA
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