Results 11 to 20 of about 5,912,088 (357)

The Gromov-Hausdorff Metric on the Space of Compact Metric Spaces is Strictly Intrinsic [PDF]

open access: yes, 2015
It is proved that the Gromov-Hausdorff metric on the space of compact metric spaces considered up to an isometry is strictly intrinsic, i.e., the corresponding metric space is geodesic. In other words, each two points of this space (each two compact metric spaces) can be connected by a geodesic.
A. Ivanov, N. K. Nikolaeva, A. Tuzhilin
arxiv   +3 more sources

Basic inequality on a b-metric space and its applications. [PDF]

open access: yesJ Inequal Appl, 2017
We first prove one of the most basic inequalities on a b-metric space. And then we prove some fixed point theorems. We also consider two similar conditions; one implies the Cauchyness on sequences but the other does not.
Suzuki T.
europepmc   +2 more sources

Metric Space of Collider Events. [PDF]

open access: yesPhysical Review Letters, 2019
When are two collider events similar? Despite the simplicity and generality of this question, there is no established notion of the distance between two events.
Patrick T. Komiske   +2 more
semanticscholar   +1 more source

Simple online and realtime tracking with a deep association metric [PDF]

open access: yesInternational Conference on Information Photonics, 2017
Simple Online and Realtime Tracking (SORT) is a pragmatic approach to multiple object tracking with a focus on simple, effective algorithms. In this paper, we integrate appearance information to improve the performance of SORT.
N. Wojke, Alex Bewley, D. Paulus
semanticscholar   +1 more source

The Duality of Similarity and Metric Spaces

open access: yesApplied 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
doaj   +1 more source

Generalize partial Metric spaces

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2020
The purpose of this research is to introduce a concept of general partial metric spaces as a generalization of partial metric space. Give some results and properties and find relations between general partial metric space, partial metric spaces and D ...
Norhan I. Abdullah, Laith K. Shaakir
doaj   +1 more source

A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces

open access: yesJournal 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
doaj   +1 more source

Metrically Round and Sleek Metric Spaces [PDF]

open access: yesThe Journal of Analysis 2022, 2021
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.
arxiv   +1 more source

Common fixed point on the $b_v(s)$-metric space of function-valued mappings

open access: yesAIMS 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
doaj   +1 more source

Compactness of Soft Fuzzy Metric Space

open access: yes, 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
semanticscholar   +1 more source

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