Strong convergence in fuzzy metric spaces

[EN] In this paper we introduce and study the concept of strong convergence in fuzzy metric spaces (X, M,*) in the sense of George and Veeramani. This concept is related with the condition Lambda M-t > 0(x, y, t) > 0, which frequently is required or missing in this context. Among other...

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Detalles Bibliográficos
Autores: Gregori Gregori, Valentín|||0000-0002-5983-6182, Miñana, Juan-José|||0000-0001-9835-0700
Tipo de recurso: artículo
Fecha de publicación:2017
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:10251/102257
Acceso en línea:https://riunet.upv.es/handle/10251/102257
Access Level:acceso abierto
Palabra clave:Fuzzy metric space
S-fuzzy metric space
S-convergence
MATEMATICA APLICADA
Descripción
Sumario:[EN] In this paper we introduce and study the concept of strong convergence in fuzzy metric spaces (X, M,*) in the sense of George and Veeramani. This concept is related with the condition Lambda M-t > 0(x, y, t) > 0, which frequently is required or missing in this context. Among other results we characterize the class of s-fuzzy metrics by the strong convergence defined here and we solve partially the question of finding explicitly a compatible metric with a given fuzzy metric.