On necessary and sufficient conditions in vector optimization (Q1114595)

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scientific article; zbMATH DE number 4083386
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English
On necessary and sufficient conditions in vector optimization
scientific article; zbMATH DE number 4083386

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    On necessary and sufficient conditions in vector optimization (English)
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    1989
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    It is shown that some general multiplier rules are necessary conditions for the vector optimization in infinite-dimensional spaces. Under additional convexity assumptions, these conditions are sufficient. As an application, the Pontryagin maximum principle for cooperative differential games is examined.
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    multiplier rules
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    necessary conditions
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    vector optimization
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    infinite- dimensional spaces
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    Pontryagin maximum principle
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    cooperative differential games
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