On n-ellipse contractive mappings over some extended metric spaces
[EN] In this paper, the concept of a mapping contracting axes of an n-ellipse is introduced and its fixed point set has been determined. Investigation of fixed point of mappings over different metric-type spaces is always an interesting study in fixed point theory. We consider a mapping with special...
| 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:10251/227673 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/227673 |
| Access Level: | acceso abierto |
| Palabra clave: | Fixed point theory Axes contractive mapping of n-ellipse Δ-metric space ℱ-metric space Banac space Contractive mappings Metric-type spaces Non-expansive mappings Enriched mappings Fixed point results |
| Sumario: | [EN] In this paper, the concept of a mapping contracting axes of an n-ellipse is introduced and its fixed point set has been determined. Investigation of fixed point of mappings over different metric-type spaces is always an interesting study in fixed point theory. We consider a mapping with special characteristic, which is contracting axes of an n-ellipse over two different metric-type structures, Δ -metric space and ℱ -metric space. An enriched version of a mapping contracting axes of an n-ellipse is also introduced, and this class of mappings includes several non-expansive mappings. Moreover, the paper is furnished by some suitable examples that support our results and show that our mapping is distinct from the usual contractive type mappings. |
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