The optimality conditions of nonconvex set-valued vector optimization

被引：3
|
作者：
Sheng, BH [1 ]
Liu, SY [1 ]
机构：
[1] Xidian Univ, Dept Appl Math, Xian 710071, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2002年 / 22卷 / 01期
关键词：
set-valued derivative; optimality condition; pseudoconvex set-valued mapping;
D O I：
10.1016/S0252-9602(17)30454-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The concepts of alpha-order Clarke's derivative, alpha-order Adjacent derivative and alpha-order G.Bouligand derivative of set-valued mappings are introduced, their properties are studied, with which the Fritz John optimality condition of set-valued vector optimization is established. Finally, under the assumption of pseudoconvexity, the optimality condition is proved to be sufficient.
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页码：47 / 55
页数：9
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