On Banach contraction principles in fuzzy metric spaces
[EN] In this paper we discuss the concept of Cauchy sequence due to Grabiec, that we call G-Cauchy, in the context of fuzzy metric spaces. It leads to introduce and study a concept of weak $-completeness in fuzzy and classical context. Then, we generalize the celebrated Grabiec's fuzzy Bana...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2018 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositório: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglês |
| OAI Identifier: | oai:riunet.upv.es:10251/102264 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/102264 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Fixed point theorem fuzzy metric space G-Cauchy sequence MATEMATICA APLICADA |
| Resumo: | [EN] In this paper we discuss the concept of Cauchy sequence due to Grabiec, that we call G-Cauchy, in the context of fuzzy metric spaces. It leads to introduce and study a concept of weak $-completeness in fuzzy and classical context. Then, we generalize the celebrated Grabiec's fuzzy Banach Contraction Principle. Also, we extend the Mihet's fixed point theorem given for weak B-contractive mappings. |
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