{
  "id": "1304.0339",
  "version": "v3",
  "published": "2013-04-01T11:46:10.000Z",
  "updated": "2013-08-05T14:43:31.000Z",
  "title": "Minimax theorems for set-valued maps without continuity assumptions",
  "authors": [
    "Monica Patriche"
  ],
  "comment": "22 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "We introduce several classes of set-valued maps with generalized convexity. We obtain minimax theorems for set-valued maps which satisfy the introduced properties and are not continuous, by using a fixed point theorem for weakly naturally quasi-concave set-valued maps defined on a simplex in a topological vector space.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-08-05T14:43:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimax theorems",
      "continuity assumptions",
      "fixed point theorem",
      "topological vector space",
      "generalized convexity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.0339P"
    }
  }
}