{
  "id": "1909.09795",
  "version": "v1",
  "published": "2019-09-21T08:20:14.000Z",
  "updated": "2019-09-21T08:20:14.000Z",
  "title": "Second-order optimality conditions for multiobjective optimization problems with constraints",
  "authors": [
    "Nguyen Quang Huy",
    "Bui Trong Kien",
    "Gue Myung Lee",
    "Nguyen Van Tuyen"
  ],
  "comment": "16 pages",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper, we introduce the second-order subdifferentials for functions which are G\\^ateaux differentiable on an open set and whose G\\^ateaux derivative mapping is locally Lipschitz. Based on properties of this kind of second-order subdifferentials and techniques of variational analysis, we derive second-order necessary conditions for weak Pareto efficient solutions of multiobjective programming problems with constraints.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-21T08:20:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49J52",
      "90C29",
      "90C46",
      "65K10",
      "49K30"
    ],
    "keywords": [
      "second-order optimality conditions",
      "multiobjective optimization problems",
      "constraints",
      "second-order subdifferentials",
      "weak pareto efficient solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}