The property of presymmetry for w-distances on quasi-metric spaces
[EN] In this paper we extend the recently introduced notion of presymmetric w-distance on metric spaces to the context of quasi-metric spaces. We establish some of its properties and present various examples. We also show that this notion provides an efficient setting to obtain a suitable and large...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/222464 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/222464 |
| Access Level: | acceso abierto |
| Palabra clave: | Complete quasi-metric space Presymmetric w-distance Contraction of Suzuki type Fixed point |
| Sumario: | [EN] In this paper we extend the recently introduced notion of presymmetric w-distance on metric spaces to the context of quasi-metric spaces. We establish some of its properties and present various examples. We also show that this notion provides an efficient setting to obtain a suitable and large quasimetric extension of a nice and elegant generalization of Banach¿s contraction principle due to Suzuki. |
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