Results 71 to 80 of about 105 (93)

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 Space of Metrics on a Compact Metrizable Space

American Journal of Mathematics, 1944
Not ...
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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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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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The metrization of rectangular b-metric spaces

Topology and its Applications, 2019
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Some metrization problem on $$\nu $$-generalized metric spaces

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018
Recently, \textit{N. Van Dung} and \textit{V. T. Le Hang} [Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 112, No. 4, 1295--1303 (2018; Zbl 1403.54020)] proved the following theorem: Let \((X, d)\) be a \(\nu\)-generalized metric space. Assume that every convergent sequence is Cauchy. Define a function \(\rho\) from \(X\times X\) into \([0,
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Review on Topological Cone Metric Spaces and Their Metrizability

The Scholar Journal for Sciences & Technology
This survey study aims to compile the most recent works on cone metric spaces in a single location. This list may be beneficial for emerging scholars engaged in the domain of functional and nonlinear analysis. The Metrizability and topological characteristics of cone metric spaces are the primary focus of this investigation.
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On Sprays of Scalar Curvature and Metrizability

Journal of Geometric Analysis, 2023
Guojun Yang
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A GENERAL RESULT ON METRIZABILITY OF CONE METRIC SPACES

JP Journal of Fixed Point Theory and Applications, 2015
Shuwen Xiang, Shunyou Xia
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Optimal metrics on metrizable spaces

Archiv der Mathematik, 1971
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