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

被引：4

作者：

Arutyunov, A. V. ^{[2
]}

Karamzin, D. Y. ^{[1
]}

Pereira, F. L. ^{[3
]}

机构：

[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow, Russia

[2] Peoples Friendship Russian Univ, Differential Equat & Funct Anal Dept, Moscow, Russia

[3] Univ Porto, Fac Engn, Inst Syst & Robot, P-4100 Oporto, Portugal

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2009年 / 140卷 / 03期

关键词：

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

D O I：

10.1007/s10957-008-9456-5

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

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：18

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