On duality for mathematical programs with vanishing constraints

被引：36
|
作者：
Mishra, S. K. [1 ]
Singh, Vinay [2 ]
Laha, Vivek [1 ]
机构：
[1] Banaras Hindu Univ, Fac Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India
[2] Natl Inst Technol, Dept Math, Aizawl 796012, Mizoram, India
来源：
ANNALS OF OPERATIONS RESEARCH | 2016年 / 243卷 / 1-2期
关键词：
Wolfe dual; Mond-Weir dual; Duality results; Mathematical programs with vanishing constraints; Generalized convexity; OPTIMALITY CONDITIONS; QUALIFICATIONS;
D O I：
10.1007/s10479-015-1814-8
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：
In this paper, we formulate and study Wolfe and Mond-Weir type dual models for a difficult class of optimization problems known as the mathematical programs with vanishing constraints. We establish the weak, strong, converse, restricted converse and strict converse duality results under the assumptions of convexity and strict convexity between the primal mathematical program with vanishing constraints and the corresponding Wolfe type dual. We also derive the weak, strong, converse, restricted converse and strict converse duality results between the primal mathematical program with vanishing constraints and the corresponding Mond-Weir type dual under the assumptions of pseudoconvex, strict pseudoconvex and quasiconvex functions.
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页码：249 / 272
页数：24
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