{
  "id": "2311.15644",
  "version": "v1",
  "published": "2023-11-27T09:16:12.000Z",
  "updated": "2023-11-27T09:16:12.000Z",
  "title": "Subdifferential calculus and ideal solutions for set optimization problems",
  "authors": [
    "Marius Durea",
    "Elena-Andreea Florea"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "We explore the possibility to derive basic calculus rules for some subdifferential constructions associated to set-valued maps between normed vector spaces. Then, we use these results in order to write optimality conditions for a special kind of solutions for set optimization problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-27T09:16:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "set optimization problems",
      "subdifferential calculus",
      "ideal solutions",
      "derive basic calculus rules",
      "write optimality conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}