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 language | English |
|---|---|
| Article number | 110227 |
| Journal | Advances in Mathematics |
| Volume | 469 |
| DOIs |
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| State | Published - May 2025 |
Keywords
- Existence of a potential
- Optimal transport
- Rockafellar-type theorem
- c-cyclic monotonicity
- c-path-boundedness
ASJC Scopus subject areas
- General Mathematics
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Dive into the research topics of '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))'. Together they form a unique fingerprint.Cite this
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