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A New Intrinsic Metric on Metric Spaces

Bulletin of the Malaysian Mathematical Sciences Society, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui, Yumiao, Xiao, Yingqing
openaire   +1 more source

The Metric Dimension of Metric Spaces

Computational Methods and Function Theory, 2013
Let \((X,d)\) be a metric space. A non-empty subset \(A\) of \(X\) resolves \((X,d)\) if \(d(x,a)=d(y,a)\) for all \(a\) in \(A\) implies \(x=y\), and if that is so we may regard the distances \(d(x,a)\), where \(a\in A\), as the coordinates of \(x\) with respect to \(A\).
Bau, Sheng, Beardon, Alan F.
openaire   +1 more source

Rough convergence of sequences in a cone metric space

The Journal of Analysis, 2018
Here we have introduced the idea of rough convergence of sequences in a cone metric space. Also it has been investigated how far several basic properties of rough convergence as valid in a normed linear space are affected in a cone metric space.
A. Banerjee, Rahul Mondal
semanticscholar   +1 more source

M-FUZZY METRIC SPACES AND D-METRIC SPACES

Advances in Fuzzy Sets and Systems, 2017
Summary: We study certain variants of \(M\)-fuzzy metric spaces and also of \(D\)-metric spaces.
Fora, Ali Ahmad Ali   +2 more
openaire   +2 more sources

HyperML: A Boosting Metric Learning Approach in Hyperbolic Space for Recommender Systems

Web Search and Data Mining, 2018
This paper investigates the notion of learning user and item representations in non-Euclidean space. Specifically, we study the connection between metric learning in hyperbolic space and collaborative filtering by exploring Mobius gyrovector spaces where
Lucas Vinh Tran   +4 more
semanticscholar   +1 more source

Approximation of Metric Spaces by Partial Metric Spaces

Applied Categorical Structures, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On 2S-metric spaces

Soft Computing, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
AYGÜN, HALİS   +2 more
openaire   +2 more sources

Data-driven distributionally robust optimization using the Wasserstein metric: performance guarantees and tractable reformulations

Mathematical programming, 2015
We consider stochastic programs where the distribution of the uncertain parameters is only observable through a finite training dataset. Using the Wasserstein metric, we construct a ball in the space of (multivariate and non-discrete) probability ...
Peyman Mohajerin Esfahani, D. Kuhn
semanticscholar   +1 more source

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