Optimality conditions in extremal problems with nonregular inequality constraints

被引：0

作者：

A. F. Izmailov

机构：

[1] Computer Center of the Russian Academy of Sciences,

来源：

Mathematical Notes | 1999年 / 66卷

关键词：

extremal problem; inequality constraint; nonregular constraint; tangent cone; dual cone; 2-regularity; second-order optimality conditions; topological linear space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We suggest an informative characterization of local solutions for extremal problems with constraints specified by a convex cone with nonempty interior. The constraints are not assumed to be regular. Our construction is based on a description of the tangent cone to the feasible set at a given point.

引用

页码：72 / 81

页数：9

共 6 条

[1]

Tret'yakov A. A.(1984)th-order necessary and sufficient optimality conditions Zhurn. Vychisl. Matem. i Matem. Fiz. 24 203-209

[2]

Avakov E. R.(1985)Extremum conditions for smooth problems with equality constraints Zhurn. Vychisl. Matem. i Matem. Fiz. 25 680-693

[3]

Belash K. N.(1988)Methods for solving degenerate problems Zhurn. Vychisl. Matem. i Matem. Fiz. 28 1097-1102

[4]

Tret'yakov A. A.(1989)Necessary extremum conditions for smooth abnormal problems with equality and inequality constraints Matem. Zametki 45 3-11

[5]

Avakov E. R.(1994)Optimality condition for degenerate extremal problems with inequality constraints Zhurn. Vychisl. Matem. i Matem. Fiz. 34 837-854

[6]

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