2 citations · 4 across the 10 of their papers we have counts for
3 papers · 1 filter
On Krasnosel'skii-Precup fixed point theorem and eigenvalue criteria for existence of positive solutions
Laura M. Fernández-Pardo, Jorge Rodríguez-López
We provide an alternative approach to Krasnosel'skii-Precup fixed point theorem for operator systems based on the Leray-Schauder fixed point index in cones. Our focus is on the cas…
Birkhoff-Kellogg type results in product spaces and their application to differential systems
Alessandro Calamai, Gennaro Infante, Jorge Rodríguez-López
We provide a new version of the well-known Birkhoff-Kellogg invariant-direction Theorem in product spaces. Our results concern operator systems and give the existence of component-…
Component-wise Krasnosel'skii type fixed point theorem in product spaces and applications
Laura M Fernández-Pardo, Jorge Rodríguez-López
We present a version of Krasnosel'skii fixed point theorem for operators acting on Cartesian products of normed linear spaces, under cone-compression and cone-expansion conditions…