Results 31 to 40 of about 6,606,593 (201)
, 2007 This paper presents a comprehensive perspective of the metric of quantum states with a focus on the background independent metric structures. We also explore the possibilities of geometrical formulations of quantum mechanics beyond the quantum state ...
A. Shapere +18 more
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Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph
, 2015 In this work, we define the concept of G-monotone nonexpansive multivalued mappings defined on a metric space with a graph G. Then we obtain sufficient conditions for the existence of fixed points for such mappings in hyperbolic metric spaces.
M. Alfuraidan, M. Khamsi
semanticscholar +1 more source
Notices of the American Mathematical Society, 2020 This note is a survey of Analysis on Metric spaces, in connection with the upcoming AMS Mathematics Research Communities program in June 2020.
Bonk, Mario +4 more
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The Gromov–Hausdorff metric on the space of compact metric spaces is strictly intrinsic [PDF]
, 2015 It is proved that the Gromov-Hausdorff metric on the space of compact metric spaces considered up to an isometry is strictly intrinsic, i.e., the corresponding metric space is geodesic.
A. Ivanov, N. K. Nikolaeva, A. Tuzhilin
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Test Spaces for Metric Spaces [PDF]
Proceedings of the American Mathematical Society, 1959 Introduction. Let n be a positive integer, and let yn be a topological space with the following property: a topological space X has dimension Yn can be extended over X. Then we call yn a test space for dimension n. In a previous paper [10], we characterized test spaces for dimension n under the assumption that both X and yn were separable metric.
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The Calabi metric for the space of Kähler metrics [PDF]
Mathematische Annalen, 2011 Given any closed Kaehler manifold we define, following an idea by Eugenio Calabi, a Riemannian metric on the space of Kaehler metrics regarded as an infinite dimensional manifold. We prove several geometrical features of the resulting space, some of which we think were already known to Calabi.
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Tangent spaces to metric spaces and to their subspaces [PDF]
, 2008 We investigate a tangent space at a point of a general metric space and metric space valued derivatives. The conditions under which two different subspace of a metric space have isometric tangent spaces in a common point of these subspaces are completely
Dovgoshey, O.
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Common fixed points for weak commutative mappings on a multiplicative metric space
, 2014 In this paper, we discuss the unique common fixed point of two pairs of weak commutative mappings on a complete multiplicative metric space. They satisfy the following inequality: d(Sx,Ty)≤{max{d(Ax,By),d(Ax,Sx),d(By,Ty),d(Sx,By),d(Ax,Ty)}}λ, where A and
Xiaoju He, Meimei Song, D. Chen
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Dimension of metric spaces [PDF]
Fundamenta Mathematicae, 1956 It is to be shown that a metric space has dimension ≤ n if and only if there exists a sequence {{ai} of locally finite open coverings, each of order ≤ n, with mesh tending to zero as i→∞, such that (a) the closure of each member of ai+1 is contained in some member of ai+1 is contained in some member of ai.
Witold Hurewicz, C. H. Dowker
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Some Fixed Point Theorems in b-metric Space
, 2014 In this paper we have obtained some fixed point theorems on b- metric space which is an extension of a fixed point theorem by Hardy (13) and Reich (20).
P. Mishra, Shweta Sachdeva, S. Banerjee
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