{
  "id": "1805.07055",
  "version": "v1",
  "published": "2018-05-18T05:37:59.000Z",
  "updated": "2018-05-18T05:37:59.000Z",
  "title": "Surjectivity in Fréchet spaces",
  "authors": [
    "Milen Ivanov",
    "Nadia Zlateva"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove surjectivity result in Fr\\'echet spaces of Nash-Moser type. That is, with uniform estimates over all semimorms. Our method works for functions which are only continuous and G\\^ateaux differentiable like in the recent result of Ekeland. We present the results in multi-valued setting exploring the relevant notions of map regularity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-18T05:37:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J53",
      "47H04",
      "54H25"
    ],
    "keywords": [
      "fréchet spaces",
      "frechet spaces",
      "surjectivity result",
      "uniform estimates",
      "map regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}