{
  "id": "2301.09504",
  "version": "v1",
  "published": "2023-01-23T15:58:07.000Z",
  "updated": "2023-01-23T15:58:07.000Z",
  "title": "Closed convex sets of Motzkin and generalized Minkowski types",
  "authors": [
    "Juan Enrique Martínez-Legaz",
    "Cornel Pintea"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "The aim of this paper is twofold. On one hand the generalized Minkowski sets are defined and characterized. On the other hand, the Motzkin decomposable sets, along with their epigraphic versions are considered and characterized in new ways. Among them, the closed convex sets with one single minimal face, i.e. translated closed convex cones, along with their epigraphic counterparts are particularly studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-23T15:58:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "closed convex sets",
      "generalized minkowski types",
      "single minimal face",
      "generalized minkowski sets",
      "motzkin decomposable sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}