Optimality for set-valued optimization in the sense of vector and set criteria

被引：3

作者：

Kong, Xiangyu ^{[1
]}

Yu, GuoLin ^{[1
]}

Liu, Wei ^{[1
]}

机构：

[1] Beifang Univ Nationalities, Inst Appl Math, Ningxia 750021, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年

关键词：

vector optimization; set optimization; optimality conditions; pseudoconvexity; Studniarski derivative; WELL-POSEDNESS; SCALARIZATION; PRINCIPLE; THEOREMS;

D O I：

10.1186/s13660-017-1319-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The vector criterion and set criterion are two defining approaches of solutions for the set-valued optimization problems. In this paper, the optimality conditions of both criteria of solutions are established for the set-valued optimization problems. By using Studniarski derivatives, the necessary and sufficient optimality conditions are derived in the sense of vector and set optimization.

引用

页数：11

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