Mond-Weir Duality Results for Nondifferentiable Mathematical Programming with Vanishing Constraints

被引：0
|
作者：
Bafrani, A. Hassani [1 ,2 ]
机构：
[1] Payame Noor Univ, Tehran, Iran
[2] Payame Noor Univ PNU, Dept Math, Math, Tehran 193954697, Iran
来源：
JOURNAL OF MATHEMATICAL EXTENSION | 2024年 / 18卷 / 01期
关键词：
Dual problem; vanishing constraints; clarke subdifferential; duality results; OPTIMALITY CONDITIONS; STATIONARY CONDITIONS; OPTIMIZATION PROBLEMS; QUALIFICATIONS;
D O I：
10.30495/JME.2024.2950
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a Mond-Weir type dual problem for the optimization problems with vanishing constraints (MPVC) defined by nondifferentiable locally Lipschitz functions. Then, we present the weak, the strong, the converse, the restricted converse, and the strict converse duality results for this new dual problem. This article can be considered as an extension of Mishra et al. (Ann. Oper. Res. 243(1):249-272, 2016), and a supplement of Gobadzadeh et al. (J. Math. Ext 9(7):1-17, 2022).
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页数：14
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