Artstein-Avidan, S., Sadovsky, S. and Wyczesany, K. orcid.org/0000-0002-1530-7916 (2025) Corrigendum to “A Rockafellar-type theorem for non-traditional costs” [Adv. Math. 395 (2022) 108157]. Advances in Mathematics, 469. 110227. ISSN 0001-8708
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”.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Commentary on: | Artstein-Avidan, S., Sadovsky, S. and Wyczesany, K. orcid.org/0000-0002-1530-7916 (2022) A Rockafellar-type theorem for non-traditional costs. Advances in Mathematics, 395. 108157. ISSN 0001-8708 |
Copyright, Publisher and Additional Information: | This is an author produced version of an article published in Advances in Mathematics, made available under the terms of the Creative Commons Attribution License (CC-BY), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Optimal transport, Existence of a potential, c-path-boundedness, c-cyclic monotonicity, Rockafellar-type theorem |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 09 Jul 2025 09:29 |
Last Modified: | 09 Jul 2025 12:55 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.aim.2025.110227 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:228915 |
Commentary/Response Threads
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Artstein-Avidan, S., Sadovsky, S. and Wyczesany, K.
A Rockafellar-type theorem for non-traditional costs. (deposited 16 Jan 2025 16:12)
- Artstein-Avidan, S., Sadovsky, S. and Wyczesany, K. Corrigendum to “A Rockafellar-type theorem for non-traditional costs” [Adv. Math. 395 (2022) 108157]. (deposited 09 Jul 2025 09:29) [Currently Displayed]