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On Completeness in Metric Spaces and Fixed Point Theorems

Valentin Gregori; Juan José Miñana; Bernardino Roig; Almanzor Sapena

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  "publisher": "Zenodo", 
  "DOI": "10.5281/zenodo.4967530", 
  "container_title": "Results in Mathematics", 
  "title": "On Completeness in Metric Spaces and Fixed Point Theorems", 
  "issued": {
    "date-parts": [
  "abstract": "<p>Complete ultrametric spaces constitute a particular class of the so called, recently, G-complete metric spaces. In this paper we characterize a more general class called weak G-complete metric spaces, by means of nested sequences of closed sets. Then, we also state a general fixed point theorem for a self-mapping of a weak G-complete metric space. As a corollary, every asymptotically regular self-mapping of a weak G-Complete metric space has a fixed point.</p>", 
  "author": [
      "family": "Valentin Gregori"
      "family": "Juan Jos\u00e9 Mi\u00f1ana"
      "family": "Bernardino Roig"
      "family": "Almanzor Sapena"
  "page": "142", 
  "volume": "73", 
  "note": "This is a preprint of the publication available from This work is also supported by project PGC2018-095709-B-C21 (MCIU/AEI/FEDER, UE), and PROCOE/4/2017 (Govern Balear, 50% P.O. FEDER 2014-2020 Illes Balears).", 
  "type": "article-journal", 
  "id": "4967530"
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