The mapping of compact into the set of its Chebyshev centres is Lipschitz in the space l^n_{\infty}

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dc.creatorIvanshin, Pyotr N.
dc.creatorSosov, Evgenii N.
dc.date2006-09-08
dc.date2008-06-25
dc.date.accessioned2026-07-07T09:46:28Z
dc.date.available2026-07-07T09:46:28Z
dc.descriptionIn this article the authors prove strong stability of the set of all Chebyshev centres of the bounded closed subset of the metric space. We endow the set of all compacts of the space $l^n_{\infty}$ with Hausdorff metric and prove that the map which puts in correspondence to each compact of $l^n_{\infty}$ the set of its Chebyshev centres is Lipshitz.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0609229
dc.identifierhttp://arxiv.org/abs/math/0609229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163540
dc.subjectMetric Geometry
dc.subject51F99
dc.titleThe mapping of compact into the set of its Chebyshev centres is Lipschitz in the space l^n_{\infty}
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