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math.CA2024
A Birkhoff-Kellogg type theorem for discontinuous operators with applications
Alessandro Calamai, Gennaro Infante, Jorge Rodríguez-López
By means of fixed point index theory for multi-valued maps, we provide an analogue of the classical Birkhoff--Kellogg Theorem in the context of discontinuous operators acting on af…
math.CA2023
A hybrid Krasnosel'skiĭ-Schauder fixed point theorem for systems
Gennaro Infante, Giovanni Mascali, Jorge Rodríguez-López
We provide new results regarding the localization of the solutions of nonlinear operator systems. We make use of a combination of Krasnosel'ski\uı cone compression-expansion type m…
math.CA2017
A version of Krasnoselskii'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 Krasnoselskii type for discontinuous operators. As an application we use it to study the existence of positive solutions of a second-order…