On fuzzy phi-contractive sequences and fixed point theorems

In this paper we give a fixed point theorem in the context of fuzzy metric spaces in the sense of George and Veeramani. As a consequence of our result we obtain a fixed point theorem due to D. Mihet and generalize a fixed point theorem due to D. Wardowski. Also, we answer in a positive way to a ques...

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Detalhes bibliográficos
Autores: Gregori Gregori, Valentín|||0000-0002-5983-6182, Miñana, Juan José
Tipo de documento: artigo
Data de publicação:2016
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:10251/83982
Acesso em linha:https://riunet.upv.es/handle/10251/83982
Access Level:Acceso aberto
Palavra-chave:Fuzzy metric space
Fuzzy contractive mapping
Fixed point
MATEMATICA APLICADA
Descrição
Resumo:In this paper we give a fixed point theorem in the context of fuzzy metric spaces in the sense of George and Veeramani. As a consequence of our result we obtain a fixed point theorem due to D. Mihet and generalize a fixed point theorem due to D. Wardowski. Also, we answer in a positive way to a question posed by D. Wardowski, and solve partially an open question on Cauchyness and contractivity. (C) 2015 Elsevier B.V. All rights reserved.