A fixed point theorem of Kannan type that characterizes fuzzy metric completeness
[EN] We obtain a fixed point theorem for complete fuzzy metric spaces, in the sense of Kramosiland Michalek, that extends the classical Kannan fixed point theorem. We also show that, in fact, ourtheorem allows to characterize the fuzzy metric completeness, extending in this way the well-known Reich-...
| Autor: | |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| 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:10251/166754 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/166754 |
| Access Level: | acceso abierto |
| Palabra clave: | Fuzzy metric space Complete Fixed point, Kannan contraction MATEMATICA APLICADA |
| Sumario: | [EN] We obtain a fixed point theorem for complete fuzzy metric spaces, in the sense of Kramosiland Michalek, that extends the classical Kannan fixed point theorem. We also show that, in fact, ourtheorem allows to characterize the fuzzy metric completeness, extending in this way the well-known Reich-Subrahmanyam theorem that a metric space is complete if and only if every Kannan contraction on it has afixed point. |
|---|