Functions that preserve the weak ultrametric and implications.

Previously, we presented the current state of the family of functions that preserve the weak ultrametric UD and of the set of functions that preserve the extended b–metric BE and its relationship with existing ones. In this paper we continue with the investigation providing some equivalences or char...

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Detalles Bibliográficos
Autores: Martínez-Cruz, Reinaldo, Cruz-Cruz, Marian Citlalli, Pérez-Vázquez, José Erasmo, López-Hernández, Ricardo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:México
Institución:UNIVERSIDAD AUTÓNOMA DEL ESTADO DE HIDALGO
Repositorio:PÄDI Boletín Científico de Ciencias Básicas e Ingeniería del ICBI
Idioma:español
OAI Identifier:oai:repository.uaeh.edu.mx:article/11090
Acceso en línea:https://repository.uaeh.edu.mx/revistas/index.php/icbi/article/view/11090
Access Level:acceso abierto
Palabra clave:Ultrametric
weak ultrametric
extended b-metric
ultramétrica
ultramétrica débil
b-métrica extendida
Descripción
Sumario:Previously, we presented the current state of the family of functions that preserve the weak ultrametric UD and of the set of functions that preserve the extended b–metric BE and its relationship with existing ones. In this paper we continue with the investigation providing some equivalences or characterizations for the set of functions that preserve the weak ultrametric UD, and this fact implies that, the graph of the elements in UD is contained in the region proposed by J. Dobos and Z. Piotrowski.