Constraint Qualifications and Stationary Conditions for Mathematical Programming with Non-differentiable Vanishing Constraints

被引：26

作者：

Kazemi, Sajjad ^{[1
]}

Kanzi, Nader ^{[1
]}

机构：

[1] Payam Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2018年 / 179卷 / 03期

关键词：

Constraint qualification; Stationary conditions; Optimality conditions; Vanishing constraints; 90C46; 90C33; 49K10; OPTIMALITY CONDITIONS; EQUILIBRIUM CONSTRAINTS; NONSMOOTH; OPTIMIZATION;

D O I：

10.1007/s10957-018-1373-7

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 paper aims at studying a broad class of mathematical programming with non-differentiable vanishing constraints. First, we are interested in some various qualification conditions for the problem. Then, these constraint qualifications are applied to obtain, under different conditions, several stationary conditions of type Karush/Kuhn-Tucker.

引用

页码：800 / 819

页数：20

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