A version of Krasnoselskii's compression-expansion fixed point theorem in cones for discontinuous operators with applications

2017/03/13 by Rubén Figueroa, Figueroa, Rubén, Rodrigo López Pouso +4
Mathematics · #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Fixed Point Theorems Analysis #Nonlinear Differential Equations Analysis #math.CA

paper · pdf · doi:10.48550/arxiv.1703.04510

arxiv created 2017/03/13 · openalex publication_date 2017/03/13 · arxiv updated 2017/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a new fixed point theorem of Krasnoselskii type for discontinuous operators. As an application we use it to study the existence of positive solutions of a second-order differential problem with separated boundary conditions and discontinuous nonlinearities.

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