Results 31 to 40 of about 6,808,491 (270)
On the topology of D‐metric spaces and generation of D‐metric spaces from metric spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 An example of a D‐metric space is given, in which D‐metric convergence does not define a topology and in which a convergent sequence can have infinitely many limits. Certain methods for constructing D‐metric spaces from a given metric space are developed and are used in constructing (1) an example of a D‐metric space in which D‐metric convergence ...
S. V. R. Naidu +2 more
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Spaces of small metric cotype [PDF]
, 2010 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
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A Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces
Mathematics, 2020 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
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Some results in function weighted b-metric spaces
AIMS Mathematics, 2023 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
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Symmetry, 2019 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
Completion of continuity spaces with uniformly vanishing asymmetry [PDF]
, 2014 The classical Cauchy completion of a metric space (by means of Cauchy sequences) as well as the completion of a uniform space (by means of Cauchy filters) are well-known to rely on the symmetry of the metric space or uniform space in question.
Chand, Alveen, Weiss, Ittay
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Existence of fixed point results in neutrosophic metric-like spaces
AIMS Mathematics, 2022 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
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Space of Spaces as a Metric Space [PDF]
Communications in Mathematical Physics, 2000 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.
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Weakly Contractive Mapping and Weakly Kannan Mapping in Partial Metric Space
Jurnal Ilmu Dasar, 2019 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
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Generalizing the Kantorovich Metric to Projection-Valued Measures [PDF]
, 2016 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
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