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A Few Notes on Formal Balls [PDF]
Logical Methods in Computer Science, 2017 Using the notion of formal ball, we present a few new results in the theory of quasi-metric spaces. With no specific order: every continuous Yoneda-complete quasi-metric space is sober and convergence Choquet-complete hence Baire in its $d$-Scott ...
Jean Goubault-Larrecq, Kok Min Ng
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NONSTANDARD COMPLETION OF NON-COMPLETE METRIC SPACE
Zanco Journal of Pure and Applied Sciences, 2021 Our aim in this study is to establishing nonstandard foundations, definitions and theorems for completion a noncomplete metric spaces. We have a lot of space or sets X which agree with all usual properties of complete, except at a small size subset of it.
Ala Omer Hassan, Ibrahim Othman Hamad
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A Universal Separable Diversity
Analysis and Geometry in Metric Spaces, 2017 The Urysohn space is a separable complete metric space with two fundamental properties: (a) universality: every separable metric space can be isometrically embedded in it; (b) ultrahomogeneity: every finite isometry between two finite subspaces can be ...
Bryant David, Nies André, Tupper Paul
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Complete metric spaces with property (Z) are length metric spaces [PDF]
, 2018 We prove that every complete metric space with property (Z) is a length space. These answers questions posed by Garc a-Lirola, Proch zka and Rueda Zoca, and by Becerra Guerrero, L pez-P rez and Rueda Zoca, related to the structure of Lipschitz-free Banach spaces of metric spaces.
Antonio Avilés +1 more
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On complete metric space [PDF]
On complete metric spaceWe characterized the uniform topology of a complete uniform space by the lattice of uniform coverings satisfying some conditions in previous papers.
Nagata, Jun-iti
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Rational Geraghty Contractive Mappings and Fixed Point Theorems in Ordered $b_2$-metric Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2019 In 2014, Zead Mustafa introduced $b_2$-metric spaces, as a generalization of both $2$-metric and $b$-metric spaces. Then new fixed point results for the classes of rational Geraghty contractive mappings of type I,II and III in the setup of $b_2$-metric ...
Roghaye Jalal Shahkoohi, Zohreh Bagheri
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The Hausdorff Algebra Fuzzy Distance and its Basic Properties [PDF]
Engineering and Technology Journal, 2021 In this article we recall the definition of algebra fuzzy metric space and its basic properties. In order to introduced the Hausdorff algebra fuzzy metric from fuzzy compact set to another fuzzy compact set we define the algebra fuzzy distance between ...
Zainab Khudhair, Jehad Kider
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The Completion of Generalized 2-Inner Product Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 A complete metric space is a well-known concept. Kreyszig shows that every non-complete metric space can be developed into a complete metric space , referred to as completion of . We use the b-Cauchy sequence to form which “is the set of all b-Cauchy
Safa L. Hamad, Zeana Z. Jamil
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STATISTICAL CONVERGENCE IN A BICOMPLEX VALUED METRIC SPACE
Ural Mathematical Journal, 2023 In this paper, we study some basic properties of bicomplex numbers. We introduce two different types of partial order relations on bicomplex numbers, discuss bicomplex valued metric spaces with respect to two different partial orders, and compare them ...
Subhajit Bera, Binod Chandra Tripathy
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Complete metric in the space of discontinuous functions
Lietuvos Matematikos Rinkinys, 2000 Complete metrics in the subspaces Dα, α > 0 of D[0, 1] which were introduced in [2] are given. These metrics are equivalent to the metrics dα defined in [2] and are stronger than the wellknown metric d in D[0,1] given in [1].
Rimas Banys
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