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Abstract
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.
Author information
Contact details are reproduced from the original publication and may be historical.
AL
Andrzej Lesniewski
Faculty of Mathematics and Information Science, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland
TR
Tadeusz Rzezuchowski
Faculty of Mathematics and Information Science, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warsaw, Poland
A. Lesniewski, T. Rzezuchowski. “The Demyanov Metric for Convex, Bounded Sets and Existence of Lipschitzian Selectors.” Journal of Convex Analysis 18 (2011), No. 3, 737–747.