Optimality conditions in set optimization employing higher-order radial derivatives

被引：0
作者：
Guo-lin Yu
机构：
[1] Beifang University of Nationalities,Department of Mathematics
来源：
Applied Mathematics-A Journal of Chinese Universities | 2017年 / 32卷
关键词：
higher-order radial derivative; optimality conditions; set-valued optimization; vector criterion; set criterion; Primary 90C29; 90C46; Secondary 26B25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
There are two approaches of defining the solutions of a set-valued optimization problem: vector criterion and set criterion. This note is devoted to higher-order optimality conditions using both criteria of solutions for a constrained set-valued optimization problem in terms of higher-order radial derivatives. In the case of vector criterion, some optimality conditions are derived for isolated (weak) minimizers. With set criterion, necessary and sufficient optimality conditions are established for minimal solutions relative to lower set-order relation.
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页码：225 / 236
页数：11
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