{
  "id": "1304.7892",
  "version": "v1",
  "published": "2013-04-30T06:32:39.000Z",
  "updated": "2013-04-30T06:32:39.000Z",
  "title": "Metric Regularity of the Sum of Multifunctions and Applications",
  "authors": [
    "Huynh Van Ngai",
    "Huu Tron Nguyen",
    "Michel Thera"
  ],
  "comment": "Submitted to JOTA 37 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this work, we use the theory of error bounds to study metric regularity of the sum of two multifunctions, as well as some important properties of variational systems. We use an approach based on the metric regularity of epigraphical multifunctions. Our results subsume some recent results by Durea and Strugariu.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-30T06:32:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "applications",
      "study metric regularity",
      "error bounds",
      "important properties",
      "variational systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.7892V"
    }
  }
}