{
  "id": "1904.06013",
  "version": "v1",
  "published": "2019-04-12T02:38:54.000Z",
  "updated": "2019-04-12T02:38:54.000Z",
  "title": "A note on the combination of equilibrium problems",
  "authors": [
    "Nguyen Thi Thanh Ha",
    "Tran Thi Huyen Thanh",
    "Nguyen Ngoc Hai",
    "Hy Duc Manh",
    "Bui Van Dinh"
  ],
  "comment": "submitted (unpublished)",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this short paper, we show that the solution set of a combination of equilibrium problems is not necessary contained in the intersection of a finite family of solution sets of equilibrium problems. As a corollary, we deduce that statements in recent papers given by S. Suwannaut, A. Kangtunyakarn (Fixed Point Theory Appl. 2013, 2014; Thai Journal of Maths. 2016), W. Khuangsatung, A. Kangtunyakarn (Fixed Point Theory Appl. 2014), and A.A. Khan, W. Cholamjiak, and K.R. Kazmi (Comput. Appl. Maths. 2018) are not correct.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-12T02:38:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H10",
      "49J40",
      "49J52",
      "90C30"
    ],
    "keywords": [
      "equilibrium problems",
      "fixed point theory appl",
      "combination",
      "solution set",
      "kangtunyakarn"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}