Journal article Open Access

# On Completeness in Metric Spaces and Fixed Point Theorems

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

### Citation Style Language JSON Export

{
"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": [
[
2018,
10,
8
]
]
},
"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 https://link.springer.com/article/10.1007/s00025-018-0896-4. 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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