{
  "id": "1409.2087",
  "version": "v1",
  "published": "2014-09-07T06:39:14.000Z",
  "updated": "2014-09-07T06:39:14.000Z",
  "title": "On the multiplier rules",
  "authors": [
    "Joël Blot"
  ],
  "comment": "9 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "We establish new results of first-order necessary conditions of optimality for finite-dimensional problems with inequality constraints and for problems with equality and inequality constraints, in the form of John's theorem and in the form of Karush-Kuhn-Tucker's theorem. In comparison with existing results we weaken assumptions of continuity and of differentiability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-07T06:39:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiplier rules",
      "inequality constraints",
      "first-order necessary conditions",
      "finite-dimensional problems",
      "weaken assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.2087B"
    }
  }
}