{
  "id": "2007.03798",
  "version": "v1",
  "published": "2020-07-07T21:41:49.000Z",
  "updated": "2020-07-07T21:41:49.000Z",
  "title": "Determination of convex functions via proximal operators",
  "authors": [
    "Emilio Vilches"
  ],
  "categories": [
    "math.OC"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-07T21:41:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46N10",
      "46N10"
    ],
    "keywords": [
      "convex functions",
      "determination",
      "proximal operator determines",
      "proximal mappings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}