Global optimization conditions for certain nonconvex minimization problems (Q1342899)
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scientific article; zbMATH DE number 711745
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global optimization conditions for certain nonconvex minimization problems |
scientific article; zbMATH DE number 711745 |
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Global optimization conditions for certain nonconvex minimization problems (English)
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18 February 1996
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The paper concerns the minimization of a lower-semicontinuous proper convex function \(f: X\to R\cup \{+ \infty\}\) over an arbitrary nonempty subset \(M\) of a reflexive Banach space \(X\). A necessary and sufficient condition for a global minimum is given [cf. \textit{J.-L. Lions}, `Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles' (Études mathématiques), Paris: Dunand; Paris; Gauthier-Villars 1968. XII, 426 p. (1968; Zbl 0179.418)]. The method is applied to other nonconvex minimization problems.
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minimization of a lower-semicontinuous proper convex function
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nonconvex minimization
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