{
  "id": "2007.12483",
  "version": "v1",
  "published": "2020-07-23T14:07:42.000Z",
  "updated": "2020-07-23T14:07:42.000Z",
  "title": "A simple proof of the Karush-Kuhn-Tucker theorem with finite number of equality and inequality constraints",
  "authors": [
    "Ramzi May"
  ],
  "comment": "5 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "We provide a simple and short proof of the Karush-Kuhn-Tucker theorem with finite number of equality and inequality constraints. The proof relies on an elementary linear algebra lemma and the local inverse theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-23T14:07:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "90C25",
      "49M37",
      "47J25"
    ],
    "keywords": [
      "karush-kuhn-tucker theorem",
      "finite number",
      "inequality constraints",
      "simple proof",
      "elementary linear algebra lemma"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}