Second-order optimality conditions for set optimization using coradiant sets

被引：0
作者：
Bin Yao
Shengjie Li
机构：
[1] Chongqing University,College of Mathematics and Statistics
[2] Shihezi University,College of Science
来源：
Optimization Letters | 2020年 / 14卷
关键词：
Second-order radial derivatives; Optimality conditions; Set optimization; Coradiant set;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to study second-order optimality conditions for a set-valued optimization problem with set criterion, where the order relation is induced by a set belong to a class of specific coradiant sets and is not necessarily a preorder. We introduce a notion of generalized second-order radial set, different from the classical second-order radial set, it is defined on a set, not on a point. Using the generalized second-order radial set, we introduce a new type of generalized second-order radial derivatives for set-valued maps and apply them to establish some necessary and sufficient conditions for the lower strict minimal solution of the set optimization problem.
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页码：2073 / 2086
页数：13
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