{
  "id": "2206.06345",
  "version": "v1",
  "published": "2022-06-13T17:44:16.000Z",
  "updated": "2022-06-13T17:44:16.000Z",
  "title": "Existence and uniqueness of fixed point on closed ball in multiplicative $\\mathbf{G}_\\mathcal{M}-$metric space",
  "authors": [
    "Mohamed Gamal",
    "Fu-Gui Shi"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article, we investigate some fixed point results satisfying a new generalized $\\Delta$-implicit contractive condition in ordered complete multiplicative $\\mathbf{G}_\\mathcal{M}-$metric space. Also, some new definitions and fixed point theorems are presented in ordered complete multiplicative $\\mathbf{G}_\\mathcal{M}-$metric space. Furthermore, some nontrivial and illustrative examples are given to validate our obtained results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-13T17:44:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metric space",
      "closed ball",
      "uniqueness",
      "ordered complete multiplicative",
      "implicit contractive condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}