Figueroa Sestelo, RubénLópez Pouso, RodrigoRodríguez López, Jorge2025-12-152025-12-152018FIGUEROA, Rubén, LÓPEZ POUSO, Rodrigo and RODRÍGUEZ-LÓPEZ, Jorge. A version of Krasnosel’skiĭ’s compression-expansion fixed point theorem in cones for discontinuous operators with applications. Topological Methods in Nonlinear Analysis. Online. 21 May 2018. Vol. 51, no. 2, pp. 493 - 510.1230-3429https://hdl.handle.net/10347/44493The final publication is available at the TMNA webpage via https://apcz.umk.pl/TMNA/article/view/TMNA.2018.003We 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.engKrasnosel'skiĭ fixed point theoremPositive solutionsDiscontinuous differential equationsjournal articleopen access