Ambiguous loci of the farthest distance mapping from compact convex sets
De Blasi, F. ; Myjak, J.
Studia Mathematica, Tome 113 (1995), p. 99-107 / Harvested from The Polish Digital Mathematics Library
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Let be a strictly convex separable Banach space of dimension at least 2. Let K() be the space of all nonempty compact convex subsets of endowed with the Hausdorff distance. Denote by K0 the set of all X ∈ K() such that the farthest distance mapping a↦MX(a) is multivalued on a dense subset of . It is proved that K0 is a residual dense subset of K().

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:216147 
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     year = {1995},
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De Blasi, F.; Myjak, J. Ambiguous loci of the farthest distance mapping from compact convex sets. Studia Mathematica, Tome 113 (1995) pp. 99-107. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv112i2p99bwm/

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