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Characterizations of quasi-metric and G-metric completeness involving w-distances and fixed points
- Source :
- Demonstratio Mathematica, Vol 55, Iss 1, Pp 939-951 (2022)
- Publication Year :
- 2022
- Publisher :
- De Gruyter, 2022.
-
Abstract
- Involving ww-distances we prove a fixed point theorem of Caristi-type in the realm of (non-necessarily T1{T}_{1}) quasi-metric spaces. With the help of this result, a characterization of quasi-metric completeness is obtained. Our approach allows us to retrieve several key examples occurring in various fields of mathematics and computer science and that are modeled as non-T1{T}_{1} quasi-metric spaces. As an application, we deduce a characterization of complete GG-metric spaces in terms of a weak version of Caristi’s theorem that involves a G-metric version of w-distances.
Details
- Language :
- English
- ISSN :
- 23914661
- Volume :
- 55
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Demonstratio Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.432fc19ef0b4f27a7c280534963f095
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/dema-2022-0177