Results 251 to 260 of about 6,012,683 (290)
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Journal of Mathematical Sciences, 2020
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Panzhensky, V. I. +2 more
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Panzhensky, V. I. +2 more
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Functional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and Engineering, 2020
John D. Ross, Kendall C. Richards
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John D. Ross, Kendall C. Richards
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On a new generalization of metric spaces
Journal of Fixed Point Theory and Applications, 2018In this paper, we introduce the $${\mathcal {F}}$$F-metric space concept, which generalizes the metric space notion. We define a natural topology $$\tau _{{\mathcal {F}}}$$τF in such spaces and we study their topological properties.
M. Jleli, B. Samet
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Stochastic Limit Theory, 2021
This chapter introduces and illustrates the concept of a metric (distance measure), and the definition of a metric space. Open, closed, and compact sets are discussed in a general context, and the concepts of separability and completeness introduced.
James Davidson
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This chapter introduces and illustrates the concept of a metric (distance measure), and the definition of a metric space. Open, closed, and compact sets are discussed in a general context, and the concepts of separability and completeness introduced.
James Davidson
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M-FUZZY METRIC SPACES AND D-METRIC SPACES
Advances in Fuzzy Sets and Systems, 2017Summary: We study certain variants of \(M\)-fuzzy metric spaces and also of \(D\)-metric spaces.
Fora, Ali Ahmad Ali +2 more
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Some Fixed-Circle Theorems on Metric Spaces
Bulletin of the Malaysian Mathematical Sciences Society, 2017The fixed-point theory and its applications to various areas of science are well known. In this paper, we present some existence and uniqueness theorems for fixed circles of self-mappings on metric spaces with geometric interpretation.
N. Özgür, N. Taş
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Russian Mathematical Surveys, 2002
Summary: This survey discusses the problem of describing properties of the class of metric spaces in which the Uryson construction of a universal homogeneous metric space (for this class) can be carried out axiomatically. One of the main properties of this kind is the possibility of gluing together two metrics given on closed subsets and coinciding on ...
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Summary: This survey discusses the problem of describing properties of the class of metric spaces in which the Uryson construction of a universal homogeneous metric space (for this class) can be carried out axiomatically. One of the main properties of this kind is the possibility of gluing together two metrics given on closed subsets and coinciding on ...
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The Metric Dimension of Metric Spaces
Computational Methods and Function Theory, 2013Let \((X,d)\) 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.
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Algebra universalis, 2012
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