| Autor: |
Karapınar Erdal, Romaguera Salvador, Tirado Pedro |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Demonstratio Mathematica, Vol 55, Iss 1, Pp 939-951 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2391-4661 |
| DOI: |
10.1515/dema-2022-0177 |
| Popis: |
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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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