{
  "id": "1502.06240",
  "version": "v1",
  "published": "2015-02-22T15:50:20.000Z",
  "updated": "2015-02-22T15:50:20.000Z",
  "title": "On some strong convergence results of a new Halpern-type iterative process for quasi-nonexpansive mappings and accretive operators in Banach spaces",
  "authors": [
    "K. Dogan",
    "V. Karakaya"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this study, we introduce a new iterative processes to approximate common fixed points of an infinite family of quasi-nonexpansive mappings and obtain a strongly convergent iterative sequence to the common fixed points of these mappings in a uniformly convex Banach space. Also we prove that this process to approximate zeros of an infinite family of accretive operators and we obtain a strong convergence result for these operators. Our results improve and generalize many known results in the current literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-22T15:50:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H09",
      "47H10",
      "37C25"
    ],
    "keywords": [
      "strong convergence result",
      "halpern-type iterative process",
      "quasi-nonexpansive mappings",
      "accretive operators",
      "approximate common fixed points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}