{"ID":2898575,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2507.02285","arxiv_id":"2507.02285","title":"A Note on Carlier Inequality","abstract":"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.","short_abstract":"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.","url_abs":"https://arxiv.org/abs/2507.02285","url_pdf":"https://arxiv.org/pdf/2507.02285v3","authors":"[\"Regina S. Burachik\",\"J. E. Martínez-Legaz\"]","published":"2025-07-03T03:49:23Z","proceeding":"math.FA","tasks":"[\"math.FA\",\"math.OC\"]","methods":"[]","has_code":false}