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A note of stability of weakly efficient solution set for optimization with set-valued maps (Q1885413)

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scientific article; zbMATH DE number 2111801
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English
A note of stability of weakly efficient solution set for optimization with set-valued maps
scientific article; zbMATH DE number 2111801

    Statements

    A note of stability of weakly efficient solution set for optimization with set-valued maps (English)
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    28 October 2004
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    The paper concentrates on the stability of the set of weakly efficient solutions for optimization problems with set-valued functions and shows that most problems with set-valued functions are stable. So-called essential weakly efficient solutions and essential components of weakly efficient solution sets are introduced and sufficient conditions for their existence are presented.
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    stability
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    multiobjective optimization
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    essential weakly efficient solution
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    essential component
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    upper semicontinuous
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    lower semicontinuous
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