Fixed points on partially ordered quasi-metric spaces
In this paper we prove new fixed point results in partially ordered bicomplete quasi-metric spaces. Our results extends/generalized celebrated results, on the one hand, by Nieto and Rodríguez-López for contraction mappings in partially ordered complete metric spaces and, on the other hand, by Schell...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Conselleria de Salut i Consum del Govern de les Illes Balears |
| Repositorio: | Docusalut |
| Idioma: | inglés |
| OAI Identifier: | oai:docusalut.com:20.500.13003/20923 |
| Acceso en línea: | https://hdl.handle.net/20.500.13003/20923 |
| Access Level: | acceso abierto |
| Palabra clave: | Quasi-metric bicomplete partial order contraction monotony continuity fixed point recurrence equation |
| Sumario: | In this paper we prove new fixed point results in partially ordered bicomplete quasi-metric spaces. Our results extends/generalized celebrated results, on the one hand, by Nieto and Rodríguez-López for contraction mappings in partially ordered complete metric spaces and, on the other hand, by Schellekens for contraction mappings in bicomplete quasi-metric spaces. Moreover, it is also shown that neither our assumptions can be weakened nor our results can be deduced from the celebrated Kleene's fixed point theorem. Finally, an application of our results to the asymptotic analysis of recurrence equations is given. |
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