Abstract
We introduce a new fixed point theorem of Krasnosel'skiĭ 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.
Citation
Rubén Figueroa. Rodrigo López Pouso. Jorge Rodríguez-López. "A version of Krasnosel'skiĭ's compression-expansion fixed point theorem in cones for discontinuous operators with applications." Topol. Methods Nonlinear Anal. 51 (2) 493 - 510, 2018. https://doi.org/10.12775/TMNA.2018.003