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Existence and relaxation theorems for extreme continuous selectors of multifunctions with decomposable values
Authors:A.A. Tolstonogov
Affiliation:Institute for System Dynamics and Control Theory, Siberian Branch of Russian Academy of Sciences, P.O. Box 1233, Irkutsk 664033, Russia
Abstract:We present some extreme continuous selector theorems, synthesizing the author's results; namely, we study existence and properties of continuous selectors from the set of extreme points of multifunctions with closed convex decomposable values in the space of Bochner integrable functions.
Keywords:54C65   54C60
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