Sequential Completeness for ⊤-Quasi-Uniform Spaces and a Fixed Point Theorem

We define sequential completeness for ⊤-quasi-uniform spaces using Cauchy pair ⊤-sequences. We show that completeness implies sequential completeness and that for ⊤-uniform spaces with countable ⊤-uniform bases, completeness and sequential completeness are equivalent. As an illustration of the appli...

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Autor principal:	Gunther Jäger
Formato:	Artigo
Idioma:	Inglês
Publicado em:	MDPI AG 2022-06-01
Colecção:	Mathematics
Assuntos:	⊤-sequence ⊤-quasi-uniform space completeness sequential completeness fixed point theorem probabilistic metric space
Acesso em linha:	https://www.mdpi.com/2227-7390/10/13/2285
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