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dc.contributor.author | Romaguera Bonilla, Salvador | es_ES |
dc.date.accessioned | 2024-07-03T18:04:48Z | |
dc.date.available | 2024-07-03T18:04:48Z | |
dc.date.issued | 2024-03 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/205750 | |
dc.description.abstract | [EN] In this paper, we introduce and examine the notion of a protected quasi-metric. In particular, we give some of its properties and present several examples of distinguished topological spaces that admit a compatible protected quasi-metric, such as the Alexandroff spaces, the Sorgenfrey line, the Michael line, and the Khalimsky line, among others. Our motivation is due, in part, to the fact that a successful improvement of the classical Banach fixed-point theorem obtained by Suzuki does not admit a natural and full quasi-metric extension, as we have noted in a recent article. Thus, and with the help of this new structure, we obtained a fixed-point theorem in the framework of Smyth-complete quasi-metric spaces that generalizes Suzuki's theorem. Combining right completeness with partial ordering properties, we also obtained a variant of Suzuki's theorem, which was applied to discuss types of difference equations and recurrence equations. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | MDPI AG | es_ES |
dc.relation.ispartof | Axioms | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | General topology | es_ES |
dc.subject | Protected quasi-metric | es_ES |
dc.subject | Partial order | es_ES |
dc.subject | Smyth-complete | es_ES |
dc.subject | Right-complete | es_ES |
dc.subject | Suzuki-type contraction | es_ES |
dc.subject | Fixed point | es_ES |
dc.subject | Difference equation | es_ES |
dc.title | On Protected Quasi-Metrics | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.3390/axioms13030158 | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.description.bibliographicCitation | Romaguera Bonilla, S. (2024). On Protected Quasi-Metrics. Axioms. 13(3). https://doi.org/10.3390/axioms13030158 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.3390/axioms13030158 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 13 | es_ES |
dc.description.issue | 3 | es_ES |
dc.identifier.eissn | 2075-1680 | es_ES |
dc.relation.pasarela | S\521005 | es_ES |