Enriched rational type contractions in quasi-Banach spaces and generalized convex b-metric spaces
[EN] In this paper, we define enriched rational type contraction in the setting of quasi-Banach spaces and prove the existence and uniqueness of fixed point of the enriched contraction by using Krasnselskii iteration procedure. Morever, we introduce weak enriched rational type contraction and give s...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| 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:10251/221850 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/221850 |
| Access Level: | acceso abierto |
| Palabra clave: | enriched rational type contraction generalized convex b-metric space fixed point weak enriched rational type contraction quasi-norm |
| Sumario: | [EN] In this paper, we define enriched rational type contraction in the setting of quasi-Banach spaces and prove the existence and uniqueness of fixed point of the enriched contraction by using Krasnselskii iteration procedure. Morever, we introduce weak enriched rational type contraction and give some fixed point theorems related to Kirk's iteration method. We also give the notion of generalized convex b-metric space and extend the results for quasi-Banach spaces to the concept of generalized convex b-metric spaces. Moreover some examples to support our results are also given. |
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