On Higher-Order Mixed Duality in Set-Valued Optimization

被引：0
作者：
Nguyen Le Hoang Anh
机构：
[1] University of Ostrava,Department of Mathematics
[2] University of Science,Department of Optimization and System Theory
[3] Vietnam National University Hochiminh City,undefined
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2018年 / 41卷
关键词：
Set-valued optimization; Mixed duality; Weakly efficient solutions; Higher-order radial derivatives; Optimality conditions; 46G05; 90C29; 90C46;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the paper, we first develop sum and chain rules of higher-order radial derivatives. By virtue of these derivatives, we establish duality theorems for a primal-dual pair in set-valued optimization. Then, their applications to optimality conditions for weakly efficient solutions are implied. Our results are more advantageous than several existing ones in the literature, especially in case of the ordering cone in the constraint space having possibly empty interior.
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页码：723 / 739
页数：16
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