Results 101 to 110 of about 6,808,491 (270)
Metric and Symmetric Spaces [PDF]
Proceedings of the American Mathematical Society, 1974 In this paper we give an alternative proof, without reference to Urysohn’s lemma, of the metrization theorem of Bing [2], Nagata [6], and Smirnov [8] via the theory of symmetric spaces as developed by H. Martin in [5].
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On Fuzzy Fixed-Point Results in Complex Valued Extended b-Metric Spaces with Application [PDF]
, 2021 Amnah E. Shammaky +2 more
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Fixed Point Results for Nonlinear F-Contractions in Composed S-Metric Spaces
Journal of Function SpacesIn this paper, we introduce the concept of composed S-metric space as a new generalization of S-metric space and Sb-metric space. We present some examples showing that a composed S-metric space is a generalization of various types of abstract spaces, and
Chol Jin Kil +2 more
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Neutrosophic Triplet v-Generalized Metric Space
Axioms, 2018 The notion of Neutrosophic triplet (NT) is a new theory in Neutrosophy. Also, the v-generalized metric is a specific form of the classical metrics. In this study, we introduced the notion of neutrosophic triplet v-generalized metric space (NTVGM), and we
Memet Şahin, Abdullah Kargın
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Separability of Metric Spaces [PDF]
Transactions of the American Mathematical Society, 1970 A topological space S is separable means that some countable subset of S is dense in S. A subset T of a topological space is separable means that T has a countable subset which is dense in T. In view of the importance of this property, it is natural to inquire about conditions under which a space is separable.
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Balls in generalizations of metric spaces
Journal of Inequalities and Applications, 2016 This paper discusses balls in partial b-metric spaces and cone metric spaces, respectively. Let ( X , p b ) $(X,p_{b})$ be a partial b-metric space in the sense of Mustafa et al. For the family △ of all p b $p_{b}$ -open balls in ( X , p b ) $(X,p_{b})$ ,
Xun Ge, Shou Lin
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Fixed point theorems in a new type of modular metric spaces
Fixed Point Theory and Applications, 2018 In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space.
Duran Turkoglu, Nesrin Manav
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The Annals of Mathematical Statistics, 1958 \(P\) sei die folgende Abschwächung der Kontinuumshypothese: Die Mächtigkeit der Gesamtheit der Untermengen einer überabzählbaren Grundmenge ist größer als die des Kontinuums. Mit \(P\) als äquivalent erweist sich die folgende Aussage: Der metrische Raum \(X\) ist dann und nur dann separabel, wenn die Mächtigkeit der Gesamtheit seiner Borelschen Mengen
Varadarajan, V. S., Rao, R. Ranga
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Approximation and Schur properties for Lipschitz free spaces over compact metric spaces
, 2015 We prove that for any separable Banach space $X$, there exists a compact metric space which is homeomorphic to the Cantor space and whose Lipschitz-free space contains a complemented subspace isomorphic to $X$.
Hájek, Petr +2 more
core
Rectangular cone b-metric spaces over Banach algebra and contraction principle
Fixed Point Theory and Applications, 2017 Rectangular cone b-metric spaces over a Banach algebra are introduced as a generalization of metric space and many of its generalizations. Some fixed point theorems are proved in this space and proper examples are provided to establish the validity and ...
Reny George +4 more
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