Topological Methods in Nonlinear Analysis

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

Rubén Figueroa, Rodrigo López Pouso, and Jorge Rodríguez-López

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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.

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Topol. Methods Nonlinear Anal., Volume 51, Number 2 (2018), 493-510.

First available in Project Euclid: 24 May 2018

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Figueroa, Rubén; Pouso, Rodrigo López; Rodríguez-López, Jorge. A version of Krasnosel'skiĭ's compression-expansion fixed point theorem in cones for discontinuous operators with applications. Topol. Methods Nonlinear Anal. 51 (2018), no. 2, 493--510. doi:10.12775/TMNA.2018.003.

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