Fixed Point Theorem of Cone Expansion and Compression of Functional Type

2002/01/01 by Douglas R. Anderson, Richard I. Avery
Engineering · Mathematics · #Nonlinear Differential Equations Analysis #Numerical methods for differential equations #Stability and Controllability of Differential Equations

paper · doi:10.1080/10236190290015344

openalex publication_date 2002/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

The fixed point theorem of cone expansion and compression of norm type is generalized by replacing the norms with two functionals satisfying certain conditions to produce a fixed point theorem of cone expansion and compression of functional type. We conclude with an application verifying the existence of a positive solution to a discrete second-order conjugate boundary value problem.

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