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

被引：0

作者：

Sajjad Kazemi

Nader Kanzi

机构：

[1] Payam Noor University,Department of Mathematics

来源：

Journal of Optimization Theory and Applications | 2018年 / 179卷

关键词：

Constraint qualification; Stationary conditions; Optimality conditions; Vanishing constraints; 90C46; 90C33; 49K10;

D O I：

暂无

中图分类号：

学科分类号：

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：19

共 50 条

[41] Enhanced Fritz John stationarity, new constraint qualifications and local error bound for mathematical programs with vanishing constraints
Khare, Abeka
Nath, Triloki
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 472 (01) : 1042 - 1077
[42] LINEAR-PROGRAMMING VIA A NON-DIFFERENTIABLE PENALTY FUNCTION
CONN, AR
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (02): : A357 - A357
[43] LINEAR-PROGRAMMING VIA A NON-DIFFERENTIABLE PENALTY FUNCTION
CONN, AR
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1976, 13 (01) : 145 - 154
[44] Complementarity Constraint Qualifications and Simplified B-Stationarity Conditions for Mathematical Programs with Equilibrium Constraints
Jong-Shi Pang
Masao Fukushima
Computational Optimization and Applications, 1999, 13 : 111 - 136
[45] Constraint qualifications and KKT conditions for bilevel programming problems
Ye, Jane J.
MATHEMATICS OF OPERATIONS RESEARCH, 2006, 31 (04) : 811 - 824
[46] Complementarity constraint qualifications and simplified B-stationarity conditions for mathematical programs with equilibrium constraints
Pang, JS
Fukushima, M
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 1999, 13 (1-3) : 111 - 136
[47] Notes on Some Constraint Qualifications for Mathematical Programs with Equilibrium Constraints
Lei Guo
Gui-Hua Lin
Journal of Optimization Theory and Applications, 2013, 156 : 600 - 616
[48] Notes on Some Constraint Qualifications for Mathematical Programs with Equilibrium Constraints
Guo, Lei
Lin, Gui-Hua
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 156 (03) : 600 - 616
[49] OPTIMAL-CONTROL PROBLEMS WITH NON-DIFFERENTIABLE ISOPERIMETRIC CONSTRAINTS
SUDHAKAR, DP
EYMAN, ED
INTERNATIONAL JOURNAL OF CONTROL, 1977, 25 (01) : 129 - 152
[50] Second-order duality for non-differentiable minimax fractional programming
Hu, Qingjie
Chen, Yu
Jian, Jinbao
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2012, 89 (01) : 11 - 16

← 1 2 3 4 5 →