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Metric learning for monotonic classification: turning the space up to the limits of monotonicity
This paper presents, for the first time, a distance metric learning algorithm for monotonic classification. Monotonic datasets arise in many...
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Fixed point results for Geraghty–Ćirić-type contraction map**s in b-metric space with applications
In this study, we manifest a new class of map**s that satisfy Geraghty–Ćirić-type contractive conditions in the context of b -metric spaces and...
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Sprachbund as Metric Space: Quantifying Linguistic Traces of Convergences and Diffusions in Synchrony
This paper attempts to conceptualize the sprachbund “linguistic area” as a metric space corresponding to the Federation of Indian languages belonging...
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Common fixed point results for three and four map**s on vector-b-metric space with a graph
A vector- b -metric space is a more general space than a b -metric space because it is Riesz space valued. The study of ordered vector spaces is...
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Local rigidity of the Teichmüller space with the Thurston metric
We show that every ℝ-linear surjective isometry between the cotangent spaces to the Teichmüller space equipped with the Thurston norm is induced by...
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Metric Spaces
Exploring the properties of real functions or sequences is just the beginning. A few answers lead to several questions. Can we extend our results...
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Quasi-Metric Properties of the Dual Cone of an Asymmetric Normed Space
We obtain some quasi-metric properties of the dual cone of an asymmetric normed space. Thus, we prove that it is balanced, and hence its topology is...
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Variations of generalized weak contractions in partially ordered b-metric space
ObjectivesThis paper explored the fixed point results for the map**s satisfying generalized weak contractive conditions in a complete partially...
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Metric Spaces
The topological spaces introduced in Chapter 2 allowed us to discuss the notion of proximity and introduce basic concepts of modern analysis, such as...
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A positive metric over DGKT vacua
We study the notion of a metric over the space of AdS solution in string theory, leading to an associated distance between them. Such a distance is...
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The Fisher metric as a metric on the cotangent bundle
The Fisher metric on a manifold of probability distributions is usually treated as a metric on the tangent bundle. In this paper, we focus on the...
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Some Fixed Point Results for Meir–Keeler Contraction Version in Modular Metric Spaces Endowed With Graph and in Fuzzy Metric Space
In this article, first we introduce a new definition of Meir–Keeler contraction and investigate fixed point results for such contraction in modular...
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Existence of common fixed point in Kannan F-contractive map**s in quasi-partial b-metric space with an application
The purpose of this study is to demonstrate results on fixed point theory in quasi-partial b-metric space recognizing a new type of map**, which is...
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A spectral metric for collider geometry
By quantifying the distance between two collider events, one can triangulate a metric space and reframe collider data analysis as computational...
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On the Black Hole Acceleration in the C-Metric Space-Time
AbstractWe consider the C-metric as a gravitational field configuration that describes an accelerating black hole in the presence of a semi-infinite...
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On Variational Principles of Metric Mean Dimension on Subsets in Feldman–Katok Metric
In this paper, we studied the metric mean dimension in Feldman–Katok (FK for short) metric. We introduced the notions of FK-Bowen metric mean...
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Metric Spaces A Companion to Analysis
This textbook presents the theory of Metric Spacesnecessary for studying analysis beyond one real variable. Rich in examples, exercises and...
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Orthogonal neutrosophic 2-metric spaces
In this study, we introduce the notion of an orthogonal neutrosophic 2-metric space and prove the common fixed-point theorem on an orthogonal...
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Fredholm integral equation in composed-cone metric spaces
The current paper introduces a novel generalization of cone metric spaces called type I and type II composed cone metric spaces. Therefore, examples...