Necessary conditions for an extremum in a mathematical programming problem

被引：0

作者：

Avakov E.R. ^{[1
]}

Arutyunov A.V. ^{[2
]}

Izmailov A.F. ^{[3
]}

机构：

[1] Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997

[2] Peoples' Friendship University of Russia, Moscow, 117198

[3] Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow

来源：

Proceedings of the Steklov Institute of Mathematics | 2007年 / 256卷 / 1期

基金：

俄罗斯基础研究基金会;

关键词：

Banach Space; STEKLOV Institute; Inequality Constraint; Local Solution; Lipschitz Condition;

D O I：

10.1134/S0081543807010014

中图分类号：

学科分类号：

摘要：

For minimization problems with equality and inequality constraints, first-and second-order necessary conditions for a local extremum are presented. These conditions apply when the constraints do not satisfy the traditional regularity assumptions. The approach is based on the concept of 2-regularity; it unites and generalizes the authors' previous studies based on this concept. © Nauka/Interperiodica 2007.

引用

页码：2 / 25

页数：23

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