Optimality Conditions and Duality for Semi-Infinite Mathematical Programming Problem with Equilibrium Constraints

被引：11

作者：

Mishra, S. K. ^{[1
]}

Jaiswal, M. ^{[2
]}

机构：

[1] Banaras Hindu Univ, Dept Math, Fac Sci, Varanasi 221005, Uttar Pradesh, India

[2] Indian Inst Sci, Dept Elect Engn, Bangalore 560012, Karnataka, India

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2015年 / 36卷 / 04期

关键词：

90C34; 90C46; 90C33; Optimality conditions; Duality; Mathematical programming with equilibrium constraints; Semi-infinite programming; QUALIFICATION; OPTIMIZATION;

D O I：

10.1080/01630563.2015.1013552

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article considers a semi-infinite mathematical programming problem with equilibrium constraints (SIMPEC) defined as a semi-infinite mathematical programming problem with complementarity constraints. We establish necessary and sufficient optimality conditions for the (SIMPEC). We also formulate Wolfe- and Mond-Weir-type dual models for (SIMPEC) and establish weak, strong and strict converse duality theorems for (SIMPEC) and the corresponding dual problems under invexity assumptions.

引用

页码：460 / 480

页数：21

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