Existence of solutions of a vector optimization problem with a generic lower semicontinuous objective function (Q1029278)
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scientific article; zbMATH DE number 5577268
| Language | Label | Description | Also known as |
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| English | Existence of solutions of a vector optimization problem with a generic lower semicontinuous objective function |
scientific article; zbMATH DE number 5577268 |
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Existence of solutions of a vector optimization problem with a generic lower semicontinuous objective function (English)
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10 July 2009
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The author studies a class of vector minimization problems on complete metric spaces, associated with extended-valued lower semicontinuous, bounded from below vector functions and without compactness assumptions. The existence of the solutions for such as these optimization programs is ensured in appropriate objective functions sets.
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complete metric space
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generic property
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lower semicontinuous objective function
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minimal element
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