Functional compression-expansion fixed point theorem

Richard Avery; Johnny Henderson; Donal O'Regan

Functional compression-expansion fixed point theorem

Richard Avery
, Johnny Henderson
, Donal O'Regan

Mathematics

Dakota State University
Baylor University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

31 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1-12
Number of pages	12
Journal	Electronic Journal of Differential Equations
Volume	2008
Publication status	Published - 22 Feb 2008

Keywords

Cone
Fixed-point theorems
Multivalued maps
Positive solutions

Cite this

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title = "Functional compression-expansion fixed point theorem",

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.",

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year = "2008",

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AU - Henderson, Johnny

AU - O'Regan, Donal

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N2 - 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.

AB - 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.

KW - Cone

KW - Fixed-point theorems

KW - Multivalued maps

KW - Positive solutions

UR - https://www.scopus.com/pages/publications/40749122174

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SP - 1

EP - 12

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Functional compression-expansion fixed point theorem

Abstract

Keywords

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