On M-Stationary Conditions and Duality for Multiobjective Mathematical Programs with Vanishing Constraints

被引：0
|
作者：
Mohd Hassan
J. K. Maurya
S. K. Mishra
机构：
[1] Banaras Hindu University,Department of Mathematics, Institute of Science
[2] Kashi Naresh Government Postgraduate College,Department of Mathematics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2022年 / 45卷
关键词：
Vanishing constraints; Multiobjective optimization problems; Optimality conditions; Duality; Constraint qualifications; 90C29; 90C30; 90C46;
D O I：
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摘要：
Mathematical programs with vanishing constraints are the optimization problems that do not satisfy most of the constraint qualifications due to nonconvex feasible region. Hence, some weaker first-order conditions like M-stationary come into existence. In this paper, we establish necessary and sufficient M-stationary conditions for multiobjective mathematical problems with vanishing constraints. We formulate Wolfe and Mond–Weir type dual models for the treated problem and propose weak, strong and strict converse duality results for Wolfe and Mond–Wier dual models. Further, we provide some examples in the support of our theory.
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页码：1315 / 1341
页数：26
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