Results 11 to 20 of about 6,851 (153)
Topologies on Superspaces of TVS-Cone Metric Spaces [PDF]
The Scientific World Journal, 2014 This paper investigates superspaces 𝒫0(X) and 𝒦0(X) of a tvs-cone metric space (X,d), where 𝒫0(X) and 𝒦0(X) are the space consisting of nonempty subsets of X and the space consisting of nonempty compact subsets of X, respectively.
Xun Ge, Shou Lin
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Some Equivalences between Cone b-Metric Spaces and b-Metric Spaces
Abstract and Applied Analysis, 2013 We introduce a b-metric on the cone b-metric space and then prove some equivalences between them. As applications, we show that fixed point theorems on cone b-metric spaces can be obtained from fixed point theorems on b-metric spaces.
Poom Kumam +2 more
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Caristi’s Fixed Point Theorem in Cone Metric Space
Journal of Function Spaces, 2022 In this paper, we provide a short, comprehensive, and brief proof for Caristi-Kirk fixed point result for single and set-valued mappings in cone metric spaces.
Fatemeh Lael, Naeem Saleem, Reny George
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Smocked Metric Spaces and Their Tangent Cones [PDF]
Missouri Journal of Mathematical Sciences, 2021 66 pages, 32 figures, original research by Prof. Sormani, Dr. Kazaras, and a team of students listed both above as authors and also within v1 at the tops of the sections that they specifically worked on, v2 has minor expository changes, v3 has minor technical ...
Sormani, Christiana +13 more
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Geodesics in the space of Kähler cone metrics, I [PDF]
American Journal of Mathematics, 2015 In this paper, we study the Dirichlet problem of the geodesic equation in the space of K\"ahler cone metrics ${\cal H}_{\cal B}$; that is equivalent to a homogeneous complex Monge-Amp\`ere equation whose boundary values consist of K\"ahler metrics with cone singularities.
CALAMAI, SIMONE, Kai, Zheng
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Modular cone metric spaces [PDF]
Pure and Applied Mathematics Journal, 2013 10 ...
Gamchi, Saeedeh Shamsi +2 more
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Expansivity and Cone-fields in Metric Spaces [PDF]
Journal of Dynamics and Differential Equations, 2014 Let \(X\) be a metric space. The authors define cone fields on \(X\) in terms of pairs of non-negative real-valued functions defined in neighborhoods of points of the product \(X\times X\). They show that if \(\Lambda\) is an invariant set of a mapping \(f:X\to X\) on which \(f\) is uniformly expansive, then there is a cone-field on \(\Lambda\) such ...
Struski, Łukasz, Tabor, Jacek
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Fixed point theorem between cone metric space and quasi-cone metric space
Indonesian Journal of Electrical Engineering and Computer Science, 2022 This study involves new notions of continuity of mapping between quasi-cone metrics spaces (QCMSs), cone metric spaces (CMSs), and vice versa. The relation between all notions of continuity were thoroughly studied and supported with the help of examples.
Abdullah Al-Yaari +3 more
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Some notes on the paper "The equivalence of cone metric spaces and metric spaces" [PDF]
Fixed Point Theory and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Asadi, Mehdi +2 more
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Fixed Point and Common Fixed Point Theorems on Ordered Cone b-Metric Spaces
Abstract and Applied Analysis, 2013 The concept of a cone b-metric space has been introduced recently as a generalization of a b-metric space and a cone metric space in 2011. The aim of this paper is to establish some fixed point and common fixed point theorems on ordered cone b-metric ...
Sahar Mohammad Abusalim +1 more
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