New Fixed Point Theorem for Discontinuous Operators in Cones and Applications

Jorge Rodríguez-López

doi:10.4171/zaa/1654

JournalszaaVol. 39, No. 2pp. 131–150

New Fixed Point Theorem for Discontinuous Operators in Cones and Applications

Jorge Rodríguez-López
Universidade de Santiago de Compostela, Spain

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Abstract

We 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.

Cite this article

Jorge Rodríguez-López, New Fixed Point Theorem for Discontinuous Operators in Cones and Applications. Z. Anal. Anwend. 39 (2020), no. 2, pp. 131–150

DOI 10.4171/ZAA/1654