A theorem of Caristi-Kirk type for b-metric spaces
[EN] The renowned Caristi-Kirk theorem states that a metric space is complete if and only if every Caristi mapping on it has a fixed point. In this note we extend this result to the setting of b -metric spaces.
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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:10251/221702 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/221702 |
| Access Level: | acceso abierto |
| Palabra clave: | Fixed point B-metric space Complete Caristi-Kirk s theorem |
| Sumario: | [EN] The renowned Caristi-Kirk theorem states that a metric space is complete if and only if every Caristi mapping on it has a fixed point. In this note we extend this result to the setting of b -metric spaces. |
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