A new variant of Ekeland's variational principle for set-valued maps

被引:9
作者
Huang, XX [1 ]
机构
[1] Chongqing Normal Univ, Dept Math & Comp Sci, Chongqing 400047, Peoples R China
关键词
set-valued map; approximate variational principle; set-valued optimization; necessary optimality condition;
D O I
10.1080/0233193021000058959
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this article, following the idea used by Gopfert et al. [A. Gopfert, Chr. Tammer and C. Zalinescu (2000). On the vectorial Ekeland's variational principle and minimal points in-product spaces. Nonlinear Analysis, Theory, Methods & Applications, 39, 909-922] to derive an Ekeland's variational principle for vector-valued functions, we derive a new variant of Ekeland's variational principle for set-valued maps. Finally, we apply this variational principle to obtain an approximate necessary optimality condition for a class of set-valued optimization problems.
引用
收藏
页码:53 / 63
页数:11
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