arXiv Open Access 2020

Proximal determination of convex functions

Emilio Vilches

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Abstrak

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.

Topik & Kata Kunci

math.OC

Penulis (1)

Emilio Vilches

Format Sitasi

APA MLA BibTeX

Vilches, E. (2020). Proximal determination of convex functions. https://arxiv.org/abs/2007.03798

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓