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L p -continuous extreme selectors of multifunctions with decomposable values: Existence theorems

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Abstract

The existence theorems of L p -continuous selectors that values are extreme points are proved for a class of multivalued maps. Applications to multivalued maps appearing in multivalued differential equations 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: Existence theorems. Set-Valued Anal 4, 173–203 (1996). https://doi.org/10.1007/BF00425964

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