Geodesic
The Demyanov Metric for Convex, Bounded Sets and Existence of Lipschitzian Selectors
Journal of convex analysis, Tome 18 (2011) no. 3, pp. 737-747
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It is shown that an alternative formula for the Demyanov metric permits to extend this metric to the family of convex, bounded sets which need not be closed. Existence of Lipschitzian, linear selectors is discussed.
Classification : 52A20, 54C65, 58C06, 54E35
Mots-clés : Convex and bounded sets, Demyanov metric, Hausdorff metric, linear selectors 
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     author = {A. Lesniewski and T. Rzezuchowski},
     title = {The {Demyanov} {Metric} for {Convex,} {Bounded} {Sets} and {Existence} of {Lipschitzian} {Selectors}},
     journal = {Journal of convex analysis},
     pages = {737--747},
     year = {2011},
     volume = {18},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2011_18_3_JCA_2011_18_3_a9/}
}
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A. Lesniewski; T. Rzezuchowski. The Demyanov Metric for Convex, Bounded Sets and Existence of Lipschitzian Selectors. Journal of convex analysis, Tome 18 (2011) no. 3, pp. 737-747. http://geodesic.mathdoc.fr/item/JCA_2011_18_3_JCA_2011_18_3_a9/