{
  "id": "1411.6199",
  "version": "v1",
  "published": "2014-11-23T06:38:40.000Z",
  "updated": "2014-11-23T06:38:40.000Z",
  "title": "Maximality of the sum of the monotone operator of type (FPV) and a maximal monotone operator",
  "authors": [
    "S. R. Pattanaik",
    "D. K. Pradhan"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "Here, question raised by Borwein and Yao has been settled by establishing that the sum of two maximal monotone operators A and B is maximal monotone with the condition that A is of type (FPV) and satisfies Rockafellar's constraints qualification. Also we have proved that A+B is of type (FPV) without assuming convexity on the domain of A.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-23T06:38:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H05",
      "49N15",
      "52A41",
      "90C25"
    ],
    "keywords": [
      "maximal monotone operator",
      "maximality",
      "satisfies rockafellars constraints qualification",
      "assuming convexity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.6199P"
    }
  }
}