Results 21 to 30 of about 6,808,491 (270)
The Duality of Similarity and Metric Spaces
Applied Sciences, 2021 We introduce a new mathematical basis for similarity space. For the first time, we describe the relationship between distance and similarity from set theory. Then, we derive generally valid relations for the conversion between similarity and a metric and
Ondřej Rozinek, Jan Mareš
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Neutrosophic metric spaces [PDF]
Mathematical Sciences, 2020 In present paper, the definition of new metric space with neutrosophic numbers is given. Several topological and structural properties have been investigated. The analogues of Baire Category Theorem and Uniform Convergence Theorem are given for Neutrosophic metric spaces.
Murat Kirişci, Necip Şimşek
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A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces
Journal of New Theory, 2023 This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
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Common fixed point on the $b_v(s)$-metric space of function-valued mappings
AIMS Mathematics, 2021 In this paper, some common fixed point results are obtained in $b_v(s)$-metric spaces. $b_v(s)$-metric space generalizes not only $b$-metric space but also rectangular metric space, $v$-generalized metric space and rectangular $b$-metric space.
Tayebe Lal Shateri +2 more
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Metric distributional discrepancy in metric space
Statistics and Its Interface, 2023 14 pages, 2 ...
Pan, Wenliang +4 more
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Compactness of Soft Fuzzy Metric Space
, 2020 The purpose of this work is to present the concepts of a compact soft fuzzy metric space and totally fuzzy bounded space. The definition of a soft fuzzy metric space is first listed with its basic important properties.
Raghad I. Sabri +3 more
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Consistency Of Definition Of Orthogonality In A Partial Metric Induced By A Metric
Jurnal Derivat, 2023 An extension of the metric space in which the distance of the same point is not always zero is called a partial metric space. Orthogonality is the relation of two perpendicular lines at one point of intersection forming a right angle.
Mochammad Hafiizh +3 more
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Divide and Conquer the Embedding Space for Metric Learning [PDF]
Computer Vision and Pattern Recognition, 2019 Learning the embedding space, where semantically similar objects are located close together and dissimilar objects far apart, is a cornerstone of many computer vision applications.
Artsiom Sanakoyeu +3 more
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Multiembedding of Metric Spaces [PDF]
SIAM Journal on Computing, 2004 Metric embedding has become a common technique in the design of algorithms. Its applicability is often dependent on how high the embedding's distortion is. For example, embedding finite metric space into trees may require linear distortion as a function of its size.
Bartal, Yair, Mendel, Manor
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Metrically round and sleek metric spaces
The Journal of Analysis, 2022 A round metric space is the one in which closure of each open ball is the corresponding closed ball. By a sleek metric space, we mean a metric space in which interior of each closed ball is the corresponding open ball. In this, article we establish some results on round metric spaces and sleek metric spaces.
Jitender Singh, T. D. Narang
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