A Note on Carlier Inequality
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908588578963456 |
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| author | Burachik, Regina S. Martínez-Legaz, J. E. |
| author_facet | Burachik, Regina S. Martínez-Legaz, J. E. |
| contents | Recently, Carlier established in [3] a quantitave version of the Fitzpatrick inequality in a Hilbert space. We extend this result by Carlier to the framework of reflexive Banach spaces. In the Hilbert space setting, we obtain an improved version of the strong Fitzpatrick inequality due to Voisei and Zălinescu. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_02285 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Note on Carlier Inequality Burachik, Regina S. Martínez-Legaz, J. E. Functional Analysis Optimization and Control 26B25, 47H05, 26D07, 90C25 Recently, Carlier established in [3] a quantitave version of the Fitzpatrick inequality in a Hilbert space. We extend this result by Carlier to the framework of reflexive Banach spaces. In the Hilbert space setting, we obtain an improved version of the strong Fitzpatrick inequality due to Voisei and Zălinescu. |
| title | A Note on Carlier Inequality |
| topic | Functional Analysis Optimization and Control 26B25, 47H05, 26D07, 90C25 |
| url | https://arxiv.org/abs/2507.02285 |