{
  "id": "1808.02202",
  "version": "v1",
  "published": "2018-08-07T03:52:16.000Z",
  "updated": "2018-08-07T03:52:16.000Z",
  "title": "On second-order sufficient optimality conditions for $C^1$ vector optimization problems",
  "authors": [
    "Nguyen Van Tuyen",
    "Jen-Chih Yao",
    "Ching-Feng Wen",
    "Yi-Bin Xiao"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper, we present some second-order sufficient conditions in terms of the Demyanov-Pevnyi's second-order directional derivatives for efficiency of $C^1$ vector optimization problems with constraints. Our results improve and generalize conditions obtained by various authors in recent papers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-07T03:52:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K30",
      "90C29",
      "90C46"
    ],
    "keywords": [
      "second-order sufficient optimality conditions",
      "vector optimization problems",
      "demyanov-pevnyis second-order directional derivatives",
      "second-order sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}