Application of the omitted ray fixed point theorem
- Resource Type
- article
- Authors
- Douglas Anderson; Richard Avery
- Source
- Electronic Journal of Qualitative Theory of Differential Equations, Vol 2014, Iss 17, Pp 1-9 (2014)
- Subject
- fixed-point theorems
omitted ray
altman
leggett-williams
Mathematics
QA1-939
- Language
- English
- ISSN
- 1417-3875
This paper presents a nontrivial application of the omitted ray fixed point theorem. Existence of solutions arguments to nonlinear boundary value problems utilizing the Krasnoselskii fixed point theorem, Leggett-Williams fixed point theorem and their functional generalizations are characterized by mapping portions of an inward boundary inward and portions of an outward boundary outward. In this application we demonstrate a technique that avoids requiring any portion of the inward boundary being mapped inward using the omitted ray fixed point theorem.