Necessary Optimality Conditions for Problems with Equality and Inequality Constraints: Abnormal Case

被引：0

作者：

A. V. Arutyunov

D. Y. Karamzin

F. L. Pereira

机构：

[1] Peoples Friendship Russian University,Differential Equations and Functional Analysis Department

[2] Russian Academy of Sciences,Dorodnicyn Computing Centre

[3] University of Porto,Faculty of Engineering

[4] Institute for Systems & Robotics,undefined

来源：

Journal of Optimization Theory and Applications | 2009年 / 140卷

关键词：

Mathematical programming; Second-order necessary optimality conditions; Abnormal points;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This article concerns second-order necessary conditions for an abnormal local minimizer of a nonlinear optimization problem with equality and inequality constraints. The obtained optimality conditions improve the ones available in the literature in that the associated set of Lagrange multipliers is the smallest possible.

引用

页码：391 / 408

页数：17

共 14 条

[1]

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[2]

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[3]

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[4]

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[5]

Karamzin D.Y.(1989)Necessary extremum conditions for smooth abnormal problems with equality and inequality constraints Math. Notes 45 431-437

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[9]

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[10]

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