{
  "id": "1704.01360",
  "version": "v1",
  "published": "2017-04-05T10:43:40.000Z",
  "updated": "2017-04-05T10:43:40.000Z",
  "title": "Two modified proximal point algorithms in geodesic spaces with curvature bounded above",
  "authors": [
    "Yasunori Kimura",
    "Fumiaki Kohsaka"
  ],
  "categories": [
    "math.FA",
    "math.OC"
  ],
  "abstract": "We obtain existence and convergence theorems on two variants of the proximal point algorithm for proper lower semicontinuous convex functions in complete geodesic spaces with curvature bounded above.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-05T10:43:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A41",
      "90C25",
      "47H10",
      "47J05"
    ],
    "keywords": [
      "modified proximal point algorithms",
      "proper lower semicontinuous convex functions",
      "complete geodesic spaces",
      "convergence theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}