Rodríguez López, Jorge2025-12-192025-12-192020Jorge Rodríguez-López, New Fixed Point Theorem for Discontinuous Operators in Cones and Applications. Z. Anal. Anwend. 39 (2020), no. 2, pp. 131–1500232-2064https://hdl.handle.net/10347/44602We provide new fixed point theorems for a class of discontinuous operators by combining a new fixed point theorem of compression-expansion type for these discontinuous operators with monotone iterative methods. As an application we study the existence of positive solutions for a nonlinear fourth-order discontinuous boundary value problem.engFixed point index theoryKrasnosel’ski˘ı theoremDiscontinuous differential equationsFourth order problemjournal articleopen access