Results 91 to 100 of about 137,540 (108)

Metrizability of Quasi‐Metric Spaces

Journal of the London Mathematical Society, 1977
T. G. Raghavan, I. Reilly
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A GENERAL RESULT ON METRIZABILITY OF CONE METRIC SPACES

JP Journal of Fixed Point Theory and Applications, 2015
S. Xiang, Shunyou Xia
semanticscholar   +2 more sources

Some remarks on the metrizability of some metric-like structures

Carpathian Journal of Mathematics, 2021
The main purpose of this article is to provide alternative proofs of the metrizability of metric-like spaces like b-metric spaces, \mathcal{F}-metric spaces, and \theta-metric spaces. We improve upon the metrizability result of An et al.
S. Som, A. Petruşel, L. Dey
semanticscholar   +1 more source

Metrizability of the Lévy topology on the space of nonadditive measures on metric spaces

Fuzzy Sets and Systems, 2012
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J. Kawabe
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Metrization of Additive κ-Metric Spaces

Proceedings of the American Mathematical Society, 1987
We prove that an additive \(\kappa\)-metric space X is metrizable if X is one of the following: (1) X is pseudocompact, (2) X is a wM-space, (3) X is a paracompact \(\beta\)-space, especially stratifiable.
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Berwald m-Kropina spaces of arbitrary signature: Metrizability and Ricci-flatness

Journal of Mathematics and Physics
The (pseudo-)Riemann-metrizability and Ricci-flatness of Finsler spaces with m-Kropina metric F = α1+mβ−m of Berwald type are investigated. We prove that the affine connection of F can locally be understood as the Levi–Civita connection of some (pseudo ...
S. Heefer
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On the metrization problem of $$\nu $$ ν -generalized metric spaces

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
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Dung, Nguyen Van, Hang, Vo Thi Le
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The metrization of rectangular b-metric spaces

Topology and its Applications, 2019
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Metric Spaces and a Metrization Theorem

1979
A distance function p in a set X is a nonnegative real-valued function defined for each pair of points x, y ∊ X and satisfying: (i) ρ(x, y) = 0 if and only if x = y, (ii) ρ(x, y) = ρ(y, x), (iii) ρ(x, z) < ρ(x, y) + ρ(y, z) (triangle inequality).
Gordon Whyburn, Edwin Duda
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Metrizability of $b$-metric space and $��$-metric space via Chittenden's metrization theorem

2019
In [An, V.T., Tuyen, Q.L., Dung, V.N., Stone-type theorem on $b$-metric spaces and applications, Topology Appl. 185-186 (2015) 50-64], Tran Van An et al. provide a sufficient condition for $b$-metric space to be metrizable. They proved the metrizability by assuming that the distance function is continuous in one variable.
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