Fixed point techniques in a cone with applications

J. A. Gatica, Hal Smith

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

This article is concerned with the existence of fixed points of compact operators mapping a cone in a Banach space into itself. Applications to two-point boundary value problems in ordinary differential equations and to an integral equation of K. E. Swick, modeling single species population growth, are given. A main feature of our results is that nonzero fixed points are obtained even though zero is known to be a fixed point.

Original languageEnglish (US)
Pages (from-to)58-71
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Volume61
Issue number1
DOIs
StatePublished - Nov 1 1977
Externally publishedYes

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Banach spaces
Ordinary differential equations
Boundary value problems
Integral equations
Mathematical operators
Cones
Cone
Fixed point
Population Growth
Compact Operator
Two-point Boundary Value Problem
Integral Equations
Ordinary differential equation
Banach space
Zero
Modeling

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Fixed point techniques in a cone with applications. / Gatica, J. A.; Smith, Hal.

In: Journal of Mathematical Analysis and Applications, Vol. 61, No. 1, 01.11.1977, p. 58-71.

Research output: Contribution to journalArticle

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