A criterion for Cauchy sequences in db-metric spaces
Lech Pasicki
TL;DR
This paper presents a refined criterion for identifying Cauchy sequences specifically in db-metric spaces, improving upon previous criteria in the literature.
Contribution
It introduces a more precise criterion for Cauchy sequences in db-metric spaces, enhancing the understanding of convergence in these generalized metric spaces.
Findings
Provides a refined criterion for Cauchy sequences in db-metric spaces
Improves upon previous criteria in the literature
Enhances understanding of convergence in generalized metric spaces
Abstract
In this note a criterion for Cauchy sequences is proved which refines the one presented in `Cauchy sequences in b-metric spaces', Topology Appl. 373 (2025) 109477.
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