Motzkin type alternative theorem and set-valued optimization (Q1611523)
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scientific article; zbMATH DE number 1786364
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Motzkin type alternative theorem and set-valued optimization |
scientific article; zbMATH DE number 1786364 |
Statements
Motzkin type alternative theorem and set-valued optimization (English)
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21 August 2002
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The authors prove a Motzkin type alternative theorem for set-valued maps under some convexity hypothesis. They derive then a necessary optimality condition for a vector optimization problem with set-valued data, and a Farkas type theorem for set-valued maps.
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theorem of the alternative
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set-valued optimization
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Farkas lemma
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