Corrigendum to “A Rockafellar-type theorem for non-traditional costs” [Adv. Math. 395 (2022) 108157] (Advances in Mathematics (2022) 395, (S000187082100596X), (10.1016/j.aim.2021.108157))

S. Artstein-Avidan, S. Sadovsky, K. Wyczesany

Research output: Contribution to journalComment/debate

Abstract

This note describes corrections to an error in the published version of the paper “A Rockafellar-type theorem for non-traditional costs” regarding the solvability of an uncountable family of inequalities. In this note, we describe the mathematical error and show that one must add an extra assumption – either countability of the family or an assumption on the coefficients not allowing the existence of what we call an infinite “black hole”.

Original languageEnglish
Article number110227
JournalAdvances in Mathematics
Volume469
DOIs
StatePublished - May 2025

Keywords

  • Existence of a potential
  • Optimal transport
  • Rockafellar-type theorem
  • c-cyclic monotonicity
  • c-path-boundedness

All Science Journal Classification (ASJC) codes

  • General Mathematics

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