Results 21 to 30 of about 6,713,503 (368)
Consistency Of Definition Of Orthogonality In A Partial Metric Induced By A Metric
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
doaj +1 more source
Divide and Conquer the Embedding Space for Metric Learning [PDF]
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
semanticscholar +1 more source
Spaces of small metric cotype [PDF]
Naor and Mendel's metric cotype extends the notion of the Rademacher cotype of a Banach space to all metric spaces. Every Banach space has metric cotype at least 2. We show that any metric space that is bi-Lipschitz equivalent to an ultrametric space has
Veomett, Ellen, Wildrick, Kevin
core +1 more source
The present paper aims to define three new notions: Θ e -contraction, a Hardy–Rogers-type Θ -contraction, and an interpolative Θ -contraction in the framework of extended b-metric space.
T. Abdeljawad +3 more
semanticscholar +1 more source
A Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces
In this paper we consider a kind of Geraghty contractions by using mw-distances in the setting of complete quasi-metric spaces. We provide fixed point theorems for this type of mappings and illustrate with some examples the results obtained.
Carmen Alegre +3 more
doaj +1 more source
Some results in function weighted b-metric spaces
In this paper, we introduce F-b-metric space (function weighted b-metric space) as a generalization of the F-metric space (the function weighted metric space). We also propose and prove some topological properties of the F-b-metric space, the theorems of
Budi Nurwahyu , Naimah Aris, Firman
doaj +1 more source
Space of Spaces as a Metric Space [PDF]
In spacetime physics, we frequently need to consider a set of all spaces (`universes') as a whole. In particular, the concept of `closeness' between spaces is essential. However, there has been no established mathematical theory so far which deals with a space of spaces in a suitable manner for spacetime physics.
openaire +4 more sources
Existence of fixed point results in neutrosophic metric-like spaces
In this article, we introduced the concept of neutrosophic metric-like spaces and obtained some fixed point results in the sense of neutrosophic metric-like spaces. Our results are improvements of recent results in the existing literature.
Fahim Ud Din +5 more
doaj +1 more source
Generalizing the Kantorovich Metric to Projection-Valued Measures [PDF]
Given a compact metric space $X$, the collection of Borel probability measures on $X$ can be made into a compact metric space via the Kantorovich metric. We partially generalize this well known result to projection-valued measures. In particular, given a
Davison, Trubee
core +1 more source
Weakly Contractive Mapping and Weakly Kannan Mapping in Partial Metric Space
In the article the concept of metric space could be expanded, one of which is a partial metric space. In the metric space, the distance of a point to itself is equal to zero, while in the partial metric space need not be equal to zero.The concept of ...
S. Sunarsini +2 more
doaj +1 more source

