Some critical remarks on the paper “A note on the metrizability of tvs-cone metric spaces” / Некоторые критические замечания о работе «Заметки о метризуемости твп-конических пространств» / Neke kritičke napomene o radu “Beleška o metrizabilnosti tvp-konusnih metričkih prostora” [PDF]
This short and concise note provides a detailed exposition of the approach and results established by (Lin et al, 2015, pp.271-279). We show that the obtained results are not particularly surprising and new.
Suzana M. Aleksić +3 more
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Some remarks on the metrizability of $$\mathcal {F}$$-metric spaces [PDF]
In this manuscript, we claim that the newly introduced $\mathcal{F}$-metric space \cite[\, M.~Jleli and B.~Samet, On a new generalization of metric spaces, J. Fixed Point Theory Appl, 20(3) 2018]{JS1} is metrizable. Also, we deduce that the notions of convergence, Cauchy sequence, completeness due to Jleli and Samet for $\mathcal{F}$-metric spaces are ...
Lakshmi Kanta Dey, , Dey Lakshmi Kanta
exaly +3 more sources
On the Non Metrizability of Berwald Finsler Spacetimes
We investigate whether Szabo’s metrizability theorem can be extended to Finsler spaces of indefinite signature. For smooth, positive definite Finsler metrics, this important theorem states that, if the metric is of Berwald type (i.e., its Chern–Rund ...
Andrea Fuster +3 more
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On the metrizability of cone metric spaces
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khani, M., Pourmahdian, M.
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Metrizability of Topology, Precompactness and Semi-Compatibal Mappings in Neutrosophic Metric Spaces [PDF]
In this manuscript, we discuss the metrizability of the topology produced by arbitrary neutrosophic metric space. Further, we demonstrate that the resulting topology is completely metrizable if the neutrosophic metric space is complete and a neutrosophic
Khaleel Ahmad, Umar Ishtiaq
doaj +3 more sources
Metrizability of decomposition spaces of metric spaces
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +3 more sources
Remarks on metrizability and generalized metric spaces
Professor Nagata's remarks and reviews on metrization are always worth close scrutiny by anyone interested in topology. The two main results of the paper under review are: Theorem 1. A regular space \(X\) is metrizable iff it has a \(\sigma\)-closure-preserving \(k\)-network \(\bigcup{\mathcal F}_n\) such that each \({\mathcal F}_n\) is pseudo-interior-
exaly +3 more sources
Metrizability of spaces of homomorphisms between metric vector spaces
12 pages, no figure, submitted to Journal of Geometry and Physics.
exaly +4 more sources
so-metrizable spaces and images of metric spaces [PDF]
Abstract so-metrizable spaces are a class of important generalized metric spaces between metric spaces and s n sn
Yang Songlin, Ge Xun
openaire +3 more sources
On Topological and Metric Properties of ⊕-sb-Metric Spaces
In this paper, we study ⊕-sb-metric spaces, which were introduced to generalize the concept of strong b-metric spaces. In particular, we study the properties of the topology induced via an ⊕-sb metric (separation properties, countability axioms, etc ...
Alexander Šostak +2 more
doaj +1 more source

