On nonconvex optimization with integral constraints (Q1821696)
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scientific article; zbMATH DE number 3999675
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On nonconvex optimization with integral constraints |
scientific article; zbMATH DE number 3999675 |
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On nonconvex optimization with integral constraints (English)
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1987
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We consider the problem of minimizing \(\int f(y)dm\) with \(\int ydm=c\), c fixed. The function f is assumed to be continuous, but need not be convex. For this problem, we give necessary and sufficient conditions for the existence of solutions. We also give conditions under which uniqueness in a certain sense holds, and we show a relation which holds between the minimizers of two different problems and the corresponding values of the constraints c.
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necessary and sufficient conditions
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existence of solutions
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uniqueness
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nonconvex optimization
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integral objective function
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constrained optimization
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