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

Rubén Figueroa, Rodrigo López Pouso, Jorge Rodríguez-López


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.


Krasnosel'skiĭ fixed point theorem; positive solutions; discontinuous differential equations

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