Fixed points which belong to the set of unit values of a suitable function on fuzzy metric spaces
[EN] In this paper, we introduce the notion of fuzzy (F,ϕ,β-ψ)-contractive mappings in fuzzy metric spaces and utilize the same to prove some existence and uniqueness fuzzy ϕ-fixed point results in both M-complete and G-complete fuzzy metric spaces. The obtained results extend, generalize and improv...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/192967 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/192967 |
| Access Level: | acceso abierto |
| Palavra-chave: | Fuzzy ψ-contractive mappings Fuzzy (F, ϕ)-contractive mappings Fuzzy (F,ϕ,β-ψ)-contractive mappings Fuzzy ϕ-fixed points |
| Resumo: | [EN] In this paper, we introduce the notion of fuzzy (F,ϕ,β-ψ)-contractive mappings in fuzzy metric spaces and utilize the same to prove some existence and uniqueness fuzzy ϕ-fixed point results in both M-complete and G-complete fuzzy metric spaces. The obtained results extend, generalize and improve some relevant results of the existing literature. An illustrative example is utilized to demonstrate the usefulness and effectiveness of our results. |
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