Abstract
Some density theorems of L p-continuous selectors whose values are extreme points are proved for a class of multivalued maps. applications to the Darboux problem for a differential inclusion are presented.
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Supported in part by RFFI Grant 93-011-264.
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Tolstonogov, A.A., Tolstonogov, D.A. L p-Continuous extreme selectors of multifunctions with decomposable values: Relaxation theorems. Set-Valued Anal 4, 237–269 (1996). https://doi.org/10.1007/BF00419367
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DOI: https://doi.org/10.1007/BF00419367