On Hausdorff intrinsic metric.
Sosov, E.N. (2001)
Lobachevskii Journal of Mathematics
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Displaying similar documents to “Cofinal completeness of the Hausdorff metric topology”
On Hausdorff intrinsic metric.
Nilmanifolds with Carnot-Carathéodory metrics.
Dontsov, V. V. (2000)
Zapiski Nauchnykh Seminarov POMI
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Hausdorff topology and uniform convergence topology in spaces of continuous functions
Umberto Artico, Giuliano Marconi (1995)
Commentationes Mathematicae Universitatis Carolinae
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The local coincidence of the Hausdorff topology and the uniform convergence topology on the hyperspace consisting of closed graphs of multivalued (or continuous) functions is related to the existence of continuous functions which fail to be uniformly continuous. The problem of the local coincidence of these topologies on is investigated for some classes of spaces: topological groups, zero-dimensional spaces, metric manifolds.
On the concepts of balls in a -metric space.
Naidu, S.V.R., Rao, K.P.R., Srinivasa Rao, N. (2005)
International Journal of Mathematics and Mathematical Sciences
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Metric projections of closed subspaces of c₀ onto subspaces of finite codimension
V. Indumathi (2004)
Colloquium Mathematicae
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Let X be a closed subspace of c₀. We show that the metric projection onto any proximinal subspace of finite codimension in X is Hausdorff metric continuous, which, in particular, implies that it is both lower and upper Hausdorff semicontinuous.
Quantifying completion.
Lowen, Robert, Windels, Bart (2000)
International Journal of Mathematics and Mathematical Sciences
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On the Lifshits Constant for Hyperspaces
K. Leśniak (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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The Lifshits theorem states that any k-uniformly Lipschitz map with a bounded orbit on a complete metric space X has a fixed point provided k < ϰ(X) where ϰ(X) is the so-called Lifshits constant of X. For many spaces we have ϰ(X) > 1. It is interesting whether we can use the Lifshits theorem in the theory of iterated function systems. Therefore we investigate the value of the Lifshits constant for several classes of hyperspaces.
When is any continuous function Lipschitzian?
Giuseppe Marino (1998)
Extracta Mathematicae
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Fixed points for -contractive or -expansive maps in uniform spaces: Toward a unified approach.
Rodríguez-Montes, Jaime, Charris, Jairo A. (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Results on -metric spaces
Fredrick Stevenson, W. Thorn (1969)
Fundamenta Mathematicae
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Localic completion of generalized metric spaces I.
Vickers, Steven (2005)
Theory and Applications of Categories [electronic only]
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Some properties of the Hausdorff distance in metric spaces.
Jozef Banas, Antonio Martinón (1990)
Extracta Mathematicae
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Some properties of the Hausdorff distance in complete metric spaces are discussed. Results obtained in this paper explain ideas used in the theory of measures of noncompactness.