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>",
"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",
"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