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Journal of Convex Analysis 28 (2021), No. 3, [final page numbers not yet available]
Copyright Heldermann Verlag 2021



Maximum Principle for Abstract Convex Functions

Jakub Rondos
Dept. of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic
jakub.rondos@gmail.com

Jiri Spurný
Dept. of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic
spurny@karlin.mff.cuni.cz



We prove a maximum principle for abstract fragmented convex functions on a compact space. In particular we give an answer to Question 5.6 posed previously by the authors in On fragmented convex functions [J. Math. Anal. Appl. 484 (2020) 123757].

Keywords: Maximum principle, convex function, fragmented function, function cone.

MSC: 46A55, 52A07, 28A05

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