On Weyl almost periodic selections of multivalued maps

We prove that Weyl almost periodic multivalued maps R ∋ t → F ( t ) ∈ cl U have Weyl almost periodic selections, where cl U is the collection of non-empty closed sets of a complete metric space U .

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 316; no. 1; pp. 110 - 127
Main Author Danilov, L.I.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.04.2006
Subjects
Almost periodic functions
Multivalued maps
Selections
Selections
Almost periodic functions
Multivalued maps
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Summary:We prove that Weyl almost periodic multivalued maps R ∋ t → F ( t ) ∈ cl U have Weyl almost periodic selections, where cl U is the collection of non-empty closed sets of a complete metric space U .
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2005.04.037