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A new generalization on metric space and its metrizability. [PDF]

JOURNAL OF ADVANCES IN MATHEMATICS
In this paper, our particular scope is to give a new generalization for the metric function and after that a proof of the metrizability of generalized φ-metric space. This new approach is influenced by the Chittenden’s metrization theorem.
Stela Çeno, Ledia Subashi
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so-metrizable spaces and images of metric spaces [PDF]

Open Mathematics, 2021
Abstract so-metrizable spaces are a class of important generalized metric spaces between metric spaces and s n sn
Yang Songlin, Ge Xun
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Some remarks on the metrizability of $$\mathcal {F}$$-metric spaces [PDF]

Journal of Fixed Point Theory and Applications, 2020
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 ...
Som, Sumit, Bera, Ashis, Dey, Lakshmi Kanta   +2 more
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g-metrizable spaces and the images of semi-metric spaces [PDF]

Czechoslovak Mathematical Journal, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ge, Ying, Lin, Shou
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Convexity in quasi-metric spaces [PDF]

, 2012
Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
core   +1 more source

Simultaneous metrizability of coarse spaces

, 2011
A metric space can be naturally endowed with both a topology and a coarse structure. We examine the converse to this. Given a topology and a coarse structure we give necessary and sufficient conditions for the existence of a metric giving rise to both of
Wright, Nick, Nick Wright
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UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES [PDF]

, 2014
In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T 0 -ultra-quasi-metric space has a unique fixed point.
Yae ́ Ulrich Gaba
core   +1 more source

Hyperconvexity and endpoints in T₀-quasi-metric spaces [PDF]

, 2013
Over the last decades much progress has been made in the investigation of hyperconvexity in metric spaces. Recently Kemajou and others have published an article concerning hyperconvexity in T₀-quasi-metric spaces.
Haihambo, Paulus
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Quotients of Metric Spaces [PDF]

, 1968
The question of when a given property of a topological space is preserved under mappings is one of the most familiar problems of general topology. Among the properties of greatest interest for general spaces is, without doubt, that of metrizability ...
Herman, Robert A.
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Metrization of additive 𝜅-metric spaces [PDF]

Proceedings of the American Mathematical Society, 1987
We prove that an additive κ \kappa ...
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