Journal article Open Access

On Completeness in Metric Spaces and Fixed Point Theorems

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


JSON-LD (schema.org) Export

{
  "description": "<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>", 
  "license": "https://creativecommons.org/licenses/by/4.0/legalcode", 
  "creator": [
    {
      "affiliation": "Polytechnic University of Valencia", 
      "@type": "Person", 
      "name": "Valentin Gregori"
    }, 
    {
      "affiliation": "University of the Balearic Islands", 
      "@type": "Person", 
      "name": "Juan Jos\u00e9 Mi\u00f1ana"
    }, 
    {
      "affiliation": "Polytechnic University of Valencia", 
      "@type": "Person", 
      "name": "Bernardino Roig"
    }, 
    {
      "affiliation": "Polytechnic University of Valencia", 
      "@type": "Person", 
      "name": "Almanzor Sapena"
    }
  ], 
  "headline": "On Completeness in Metric Spaces and Fixed Point Theorems", 
  "image": "https://zenodo.org/static/img/logos/zenodo-gradient-round.svg", 
  "datePublished": "2018-10-08", 
  "url": "https://zenodo.org/record/4967530", 
  "keywords": [
    "G-complete metric space", 
    "weak G-complete metric space"
  ], 
  "@context": "https://schema.org/", 
  "identifier": "https://doi.org/10.5281/zenodo.4967530", 
  "@id": "https://doi.org/10.5281/zenodo.4967530", 
  "@type": "ScholarlyArticle", 
  "name": "On Completeness in Metric Spaces and Fixed Point Theorems"
}
22
17
views
downloads
All versions This version
Views 2222
Downloads 1717
Data volume 5.0 MB5.0 MB
Unique views 2121
Unique downloads 1616

Share

Cite as