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Proximal determination of convex functions
Keywords: Determination of convex functions; Legendre, Fenchel conjugate; Moreau decomposition; Proximal operator
Abstract
We provide comparison principles for convex functions through its proximal mappings. Consequently, we prove that the norm of the proximal operator determines a convex the function up to a constant. A new characterization of Lipschitzianity in terms of the proximal operator is given.
Más información
| Título según SCOPUS: | Proximal determination of convex functions |
| Título de la Revista: | Journal of Convex Analysis |
| Volumen: | 28 |
| Número: | 4 |
| Editorial: | Heldermann Verlag |
| Fecha de publicación: | 2021 |
| Idioma: | English |
| Notas: | SCOPUS |