A version of Krasnoselskii's compression-expansion fixed point theorem in cones for discontinuous operators with applications
Classical Analysis and ODEs
2017-03-14 v1
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.
Keywords
Cite
@article{arxiv.1703.04510,
title = {A version of Krasnoselskii's compression-expansion fixed point theorem in cones for discontinuous operators with applications},
author = {Rubén Figueroa and Rodrigo López Pouso and Jorge Rodríguez-López},
journal= {arXiv preprint arXiv:1703.04510},
year = {2017}
}