A note on the c-monotonicity in optimal transport with capacity constraints
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908621905854464 |
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| author | Chen, Dongwei |
| author_facet | Chen, Dongwei |
| contents | This paper studies the geometry of the optimizer for the optimal transport problem with capacity constraints. We introduce the concept of c-capacity monotonicity, which is a generalization of c-cyclical monotonicity in optimal transport. We show that the optimizer of the optimal transport problem with capacity constraints is c-capacity monotone. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20428 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on the c-monotonicity in optimal transport with capacity constraints Chen, Dongwei Optimization and Control 49Q22 This paper studies the geometry of the optimizer for the optimal transport problem with capacity constraints. We introduce the concept of c-capacity monotonicity, which is a generalization of c-cyclical monotonicity in optimal transport. We show that the optimizer of the optimal transport problem with capacity constraints is c-capacity monotone. |
| title | A note on the c-monotonicity in optimal transport with capacity constraints |
| topic | Optimization and Control 49Q22 |
| url | https://arxiv.org/abs/2508.20428 |