Results 11 to 20 of about 1,274,301 (280)
From the Jordan product to Riemannian geometries on classical and quantum states [PDF]
, 2020 The Jordan product on the self-adjoint part of a finite-dimensional $C^{*}$-algebra $\mathscr{A}$ is shown to give rise to Riemannian metric tensors on suitable manifolds of states on $\mathscr{A}$, and the covariant derivative, the geodesics, the ...
Ciaglia, Florio M. +2 more
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Extended rectangular fuzzy b-metric space with application
AIMS Mathematics, 2022 In this paper, we introduce an extended rectangular fuzzy b-metric space which generalizes rectangular fuzzy b-metric space and rectangular fuzzy metric space. We show that an extended rectangular fuzzy b-metric space is not Hausdorff.
Naeem Saleem +3 more
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Some fixed points results in \(b\)-metric and quasi \(b\)-metric spaces
Journal of Function Spaces, 2022 The paper is devoted to presenting many results on so-called \(b\)-metric spaces and quasi \(b\)-metric spaces, discovered by Ćirić. The paper is well prepared, and can be discussed both by professional mathematicians and persons working in other areas of mathematics.
George, Reny +3 more
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Picard sequences in b-metric spaces [PDF]
Fixed Point Theory, 2020 © 2020, House of the Book of Science. All rights reserved. The purpose of this article is to provide much simpler and shorter proofs of some important results in the framework of b-metric spaces. Namely, we show that the given contractive condition implies b-Cauchyness of the corresponding Picard sequence.
Aleksić, Suzana +2 more
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A new extension to the controlled metric type spaces endowed with a graph
Advances in Difference Equations, 2021 In this paper, we initiate a new extension of b-metric spaces, called controlled metric-like spaces, by changing the condition [ ℘ ( s , r ) = 0 ⇔ s = r ] by [ ℘ ( s , r ) = 0 ⇒ s = r ] $$ \bigl[\wp (s,r)=0 \Leftrightarrow s=r\bigr]\quad \text{by ...
Nabil Mlaiki +3 more
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A Characterization of Uniquely Representable Graphs [PDF]
, 2020 The betweenness structure of a finite metric space $M = (X, d)$ is a pair $\mathcal{B}(M) = (X,\beta_M)$ where $\beta_M$ is the so-called betweenness relation of $M$ that consists of point triplets $(x, y, z)$ such that $d(x, z) = d(x, y) + d(y, z)$. The
Szabó, Péter G. N.
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Annals of West University of Timisoara - Mathematics and Computer Science, 2022 Abstract In this paper we present a new approach for the fuzzy quasi-b-metric spaces and we obtain some properties of these spaces. A special attention is granted to the decomposition theorems of a fuzzy quasi-b-metric into a right continuous and ascending family of quasi-b-metrics.
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Proinov type contractions on dislocated b-metric spaces [PDF]
Advances in Difference Equations, 2021 AbstractIn this paper, we improve the Proinov theorem by adding certain rational expressions to the definition of the corresponding contractions. After that, we prove fixed point theorems for these modified Proinov contractions in the framework of dislocated b-metric spaces.
Badr Alqahtani +3 more
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Probabilistic b-metric spaces and nonlinear contractions [PDF]
Fixed Point Theory and Applications, 2017 AbstractThis work is for giving the probabilistic aspect to the knownb-metric spaces (Czerwik in Atti Semin. Mat. Fis. Univ. Modena 46(2):263-276, 1998), which leads to studying the fixed point property for nonlinear contractions in this new class of spaces.
Abderrahim Mbarki, Rachid Oubrahim
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Quasisymmetric mappings in b-metric spaces
Ukrainian Mathematical Bulletin, 2021 Considering quasisymmetric mappings between b-metric spaces we have found a new estimation for the ratio of diameters of two subsets which are images of two bounded subsets. This result generalizes the well-known Tukia-Vaisala inequality. The condition under which the image of a b-metric space under a quasisymmetric mapping is also a b-metric space is ...
Petrov, Evgeniy A., Salimov, Ruslan R.
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