Extreme continuous selectors of multivalued maps and their applications (Q1903034)

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scientific article; zbMATH DE number 823545
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Extreme continuous selectors of multivalued maps and their applications
scientific article; zbMATH DE number 823545

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    Extreme continuous selectors of multivalued maps and their applications (English)
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    5 December 1995
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    This paper deals with the existence of continuous selectors whose values are extreme points of a set-valued map in a Banach space. The results are applied to study existence and properties of extreme solutions of \(x' \in F(t,x)\), \(x' \in \text{ext} F (t,x)\).
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    continuous selectors
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    set-valued map
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    Banach space
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    extreme solutions
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