{
  "id": "0802.1347",
  "version": "v2",
  "published": "2008-02-10T20:18:48.000Z",
  "updated": "2008-02-12T14:19:59.000Z",
  "title": "Fixed points in the family of convex representations of a maximal monotone operator",
  "authors": [
    "B. F. Svaiter"
  ],
  "comment": "13 pages, updated references. Submited in July 2002 to Proc. AMS",
  "journal": "Proceedings of the American Mathematical Society, 131 (2003), n. 12, 3851-3859",
  "doi": "10.1090/S0002-9939-03-07083-7",
  "categories": [
    "math.FA"
  ],
  "abstract": "Any maximal monotone operator can be characterized by a convex function. The family of such convex functions is invariant under a transformation connected with the Fenchel-Legendre conjugation. We prove that there exist a convex representation of the operator which is a fixed point of this conjugation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-02-12T14:19:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H05",
      "47H04",
      "46B99"
    ],
    "keywords": [
      "maximal monotone operator",
      "convex representation",
      "fixed point",
      "convex function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.1347S"
    }
  }
}