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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Detalhes bibliográficos
Autores: Martínez-Cruz, Reinaldo, Cruz-Cruz, Marian Citlalli, Pérez-Vázquez, José Erasmo, López-Hernández, Ricardo
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:México
Recursos: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
Acesso em linha:https://repository.uaeh.edu.mx/revistas/index.php/icbi/article/view/11090
Access Level:acceso abierto
Palavra-chave:Ultrametric
weak ultrametric
extended b-metric
ultramétrica
ultramétrica débil
b-métrica extendida
Descrição
Resumo: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.