Proper efficiency in a linear fractional vector maximum problem with generalized convex constraints (Q1108934)
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scientific article; zbMATH DE number 4068639
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proper efficiency in a linear fractional vector maximum problem with generalized convex constraints |
scientific article; zbMATH DE number 4068639 |
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Proper efficiency in a linear fractional vector maximum problem with generalized convex constraints (English)
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1988
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A vector maximum problem with fractional objectives and quasi-convex, differentiable constraints is considered. Using the Kuhn-Tucker theory necessary and sufficient conditions for an efficient solution are obtained if the Kuhn-Tucker constraint qualification or the Arrow- Hurwicz-Uzawa constraint qualification hold. Also it is proven that under a certain boundedness assumption an efficient point is properly efficient.
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vector maximum problem
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fractional objectives
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quasi-convex, differentiable constraints
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efficient solution
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Kuhn-Tucker constraint qualification
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