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Approximate selections of almost lower semicontinuous multimaps in \(C\)-spaces - MaRDI portal

Approximate selections of almost lower semicontinuous multimaps in \(C\)-spaces (Q2492379)

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Approximate selections of almost lower semicontinuous multimaps in \(C\)-spaces
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    Approximate selections of almost lower semicontinuous multimaps in \(C\)-spaces (English)
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    9 June 2006
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    The authors' abstract: We study the relations of almost lower semicontinuity, lower semicontinuity and other notions of generalized lower semicontinuity; then we establish a new approximate selection theorem for almost lower semicontinuous multimaps with the generalized Zima type condition in \(C\)-spaces. Our result unify and extend the approximate selection theorems in many published works.
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    lower semicontinuity
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    almost lower semicontinuity
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    quasi lower semicontinuity
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    uniformly \(u\)-continuous
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    Zima type
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    approximate selection theorems
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    \(LC\)-metric spaces
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