Document Type
Article
Publication Date
2016
Abstract
In this article we use an interval of functional type as the underlying set in our compression-expansion fixed point theorem argument which can be used to exploit properties of the operator to improve conditions that will guarantee the existence of a fixed point in applications. An example is provided to demonstrate how intervals of functional type can improve conditions in applications to boundary value problems. We also show how one can use suitable k-contractive conditions to prove that a fixed point in a functionaltype interval is unique.
Recommended Citation
Avery, Richard I.; Anderson, Douglas R.; and Henderson, Johnny, "An Extension of the Compression-Expansion Fixed Point Theorem of Functional Type" (2016). Faculty Research & Publications. 17.
https://scholar.dsu.edu/anspapers/17
Comments
Copyright Electronic Journal of Differential Equations