Results 1 to 10 of about 2,056 (258)
Topologies on Superspaces of TVS-Cone Metric Spaces [PDF]
The Scientific World Journal, 2014 This paper investigates superspaces š¯’«0(X) and š¯’¦0(X) of a tvs-cone metric space (X,d), where š¯’«0(X) and š¯’¦0(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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Topological Algebra and its Applications, 2021 This paper presents some fixed point theorems for T-Hardy-Rodgers contraction mappings in complete cone b-metric spaces without the assumption of normality conditions.
Shashi Pauline, Kumar Santosh
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On an equivalence of topological vector space valued cone metric spaces and metric spaces
Applied Mathematics Letters, 2012 Using the scalarization method of \textit{W.-S. Du} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, A, 2259--2261 (2010; Zbl 1205.54040)], the authors deduce several connections between TVS-cone valued metric spaces and standard metric spaces.
HĆ¼seyiĢ‡N Ƈakalli
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A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces
Journal of New Theory, 2023 This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $\zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness
Tarapada Bag, Abhishikta Das
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On paracompactness in cone metric spaces
Applied Mathematics Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Some properties of fuzzy cone symmetric spaces [PDF]
Journal of Hyperstructures, 2023 In this work, we give a fuzzy analogy of cone symmetric spaces that we call fuzzy cone symmetric spaces. Since these structurere obtained by omitting the triangle inequality in fuzzy cone metric spaces, there are topological degenerations.
Tarkan Oner
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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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Fixed Point Theorems in Cone Metric Spaces via c-Distance Over Topological Module
International Journal of Analysis and Applications, 2023 In 2011, Wang and Guo introduced c-distance in cone metric spaces. The idea of cone metric spaces over topological modules was presented by Branga and Olaru in 2020.
Shallu Sharma +3 more
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Geodesics in the space of KƤhler 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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