std-Convergence in fuzzy metric spaces

In this note we answer two recent questions posed by Morillas and Sapena [10] related to standard convergence in fuzzy metric spaces in the sense of George and Veeramani. The obtained results lead us to establish what conditions must satisfy a concept about sequential convergence to be considered co...

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Detalles Bibliográficos
Autores: Gregori Gregori, Valentín|||0000-0002-5983-6182, Miñana, Juan José
Tipo de recurso: artículo
Fecha de publicación:2015
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:10251/64663
Acceso en línea:https://riunet.upv.es/handle/10251/64663
Access Level:acceso abierto
Palabra clave:Fuzzy metric space
(std-) Cauchy sequence
(std-) Convergent sequence
MATEMATICA APLICADA
Descripción
Sumario:In this note we answer two recent questions posed by Morillas and Sapena [10] related to standard convergence in fuzzy metric spaces in the sense of George and Veeramani. The obtained results lead us to establish what conditions must satisfy a concept about sequential convergence to be considered compatible with a concept of Cauchyness.