Abstract

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 their article On fragmented convex functions [J. Math. Anal. Appl. 484 (2020) 123757].

Author information

Contact details are reproduced from the original publication and may be historical.

Jakub Rondoš

Dept. of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic

jakub.rondos@gmail.com

Jiří Spurný

Dept. of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic

spurny@karlin.mff.cuni.cz

Keywords

  • Maximum principle
  • convex function
  • fragmented function
  • function cone

Mathematics Subject Classification

46A55, 52A07, 28A05

Suggested citation

J. Rondoš, J. Spurný. “Maximum Principle for Abstract Convex Functions.” Journal of Convex Analysis 28 (2021), No. 3, 837–846. https://doi.org/10.68381/jca28048

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Published by Heldermann Verlag, 2021. Rights now held by Banach Press.