On the reciprocal vector optimization problems (Q799489)
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scientific article; zbMATH DE number 3874983
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the reciprocal vector optimization problems |
scientific article; zbMATH DE number 3874983 |
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On the reciprocal vector optimization problems (English)
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1985
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A necessary and sufficient condition is established for an optimal solution of a primal vector optimization problem to be an optimal solution of its reciprocal. Such a condition is developed and analyzed in the Pareto case, the strong case, and the lexicographic case. We detail these results for ordinary (i.e., scalar) optimization problems.
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optimality conditions
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reciprocity
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Pareto optimality
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lexicographic order
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theorems of the alternative
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primal vector optimization problem
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optimal solution
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