On the theory of abnormal extremal problems with a finite-dimensional image (Q1380265)
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scientific article; zbMATH DE number 1122762
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the theory of abnormal extremal problems with a finite-dimensional image |
scientific article; zbMATH DE number 1122762 |
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On the theory of abnormal extremal problems with a finite-dimensional image (English)
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21 September 1999
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The author considers minimization problems in finite-dimensional case with constraints. New first- and second-order informative necessary conditions for a minimum are announced when the Lagrange multiplier rule is fulfilled for an arbitrary goal functional and bears no information. The results obtained generalize well-known ones in this field. The full and detailed proofs are presented later in his paper [\textit{A. V. Arutyunov}, Trans. Am. Math. Soc. 350, No. 11, 4341-4365 (1998; following review)].
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minimization
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the Lagrange multiplier rule
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first- and second-order informative necessary conditions
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