{
  "id": "1310.5763",
  "version": "v2",
  "published": "2013-10-21T23:43:58.000Z",
  "updated": "2014-03-31T09:50:16.000Z",
  "title": "About [q]-regularity properties of collections of sets",
  "authors": [
    "Alexander Y. Kruger",
    "Nguyen H. Thao"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1309.7002",
  "journal": "Journal of Mathematical Analysis and Applications, 2014",
  "doi": "10.1016/j.jmaa.2014.02.028",
  "categories": [
    "math.OC"
  ],
  "abstract": "We examine three primal space local Hoelder type regularity properties of finite collections of sets, namely, [q]-semiregularity, [q]-subregularity, and uniform [q]-regularity as well as their quantitative characterizations. Equivalent metric characterizations of the three mentioned regularity properties as well as a sufficient condition of [q]-subregularity in terms of Frechet normals are established. The relationships between [q]-regularity properties of collections of sets and the corresponding regularity properties of set-valued mappings are discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-31T09:50:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "collections",
      "space local hoelder type regularity",
      "primal space local hoelder type",
      "local hoelder type regularity properties",
      "equivalent metric characterizations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.5763K"
    }
  }
}