A Characterization of Quasi-Metric Completeness in Terms of alpha-psi-Mappings Having Fixed Points
[EN] We obtain a characterization of Hausdorff left K-complete quasi-metric spaces by means of alpha-psi-contractive mappings, from which we deduce the somewhat surprising fact that one the main fixed point theorems of Samet, Vetro, and Vetro (see "Fixed point theorems for alpha-psi-contrac...
| Autores: | , |
|---|---|
| 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:10251/172314 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/172314 |
| Access Level: | acceso abierto |
| Palabra clave: | Fixed point Quasi-metric space Left K-complete Alpha-psi-contractive mapping MATEMATICA APLICADA |
| Sumario: | [EN] We obtain a characterization of Hausdorff left K-complete quasi-metric spaces by means of alpha-psi-contractive mappings, from which we deduce the somewhat surprising fact that one the main fixed point theorems of Samet, Vetro, and Vetro (see "Fixed point theorems for alpha-psi-contractive type mappings", Nonlinear Anal. 2012, 75, 2154-2165), characterizes the metric completeness. |
|---|