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math.MG2020
A sandwich with segment convexity
Mihály Bessenyei, Dávid Cs. Kertész, Rezső L. Lovas
The aim of this note is to give a sufficient condition for pairs of functions to have a convex separator when the underlying structure is a Cartan--Hadamard manifold, or more gener…
math.FA2020
Applications of the Bielecki renorming technique
Mihály Bessenyei, Zsolt Páles
The renorming technique allows one to apply the Banach Contraction Principle for maps which are not contractions with respect to the original metric. This method was invented by Bi…