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 |
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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
All Science Journal Classification (ASJC) codes
- General Mathematics