Duality for nonsmooth semi-infinite programming problems

被引：34
作者：
Mishra, S. K. [1 ]
Jaiswal, M. [1 ]
Le Thi Hoai An [2 ]
机构：
[1] Banaras Hindu Univ, Dept Math, Varanasi 221005, Uttar Pradesh, India
[2] Univ Paul Verlaine Metz, UFR MIM, Lab Theoret & Appl Comp Sci LITA, Metz, France
来源：
OPTIMIZATION LETTERS | 2012年 / 6卷 / 02期
关键词：
Duality; Semi-infinite programming; Nonsmooth programming; Generalized convexity; OPTIMALITY CONDITIONS; OPTIMIZATION; INEQUALITY;
D O I：
10.1007/s11590-010-0240-8
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 deals with nonsmooth semi-infinite programming problem which in recent years has become an important field of active research in mathematical programming. A semi-infinite programming problem is characterized by an infinite number of inequality constraints. We formulate Wolfe as well as Mond-Weir type duals for the nonsmooth semi-infinite programming problem and establish weak, strong and strict converse duality theorems relating the problem and the dual problems. To the best of our knowledge such results have not been done till now.
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页码：261 / 271
页数：11
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