{
  "id": "1906.07758",
  "version": "v1",
  "published": "2019-06-18T18:33:56.000Z",
  "updated": "2019-06-18T18:33:56.000Z",
  "title": "Duality suitable for a class of non-convex optimization problems",
  "authors": [
    "Fabio Botelho"
  ],
  "comment": "7 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this article we develop a duality principle suitable for a large class of problems in optimization. The main result is obtained through basic tools of convex analysis and duality theory. We establish a correct relation between the critical points of the primal and dual formulations and formally prove there is no duality gap between such formulations, in a local extremal context.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-18T18:33:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49N15"
    ],
    "keywords": [
      "non-convex optimization problems",
      "duality suitable",
      "local extremal context",
      "basic tools",
      "duality principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}