Optimality criteria in set valued optimization

被引：21
|
作者：
Lalitha, CS
Dutta, J
Govil, MG
机构：
[1] Rajdhani Coll, Dept Math, New Delhi 110015, India
[2] Shri Ram Coll Commerce, Dept Math, Delhi 110007, India
[3] Indian Inst Technol, Dept Math, Kanpur 208016, Uttar Pradesh, India
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2003年 / 75卷
关键词：
set-valued optimization; contingent epiderivative; Clarke epiderivative; conearcwise connectedness; optimality;
D O I：
10.1017/S1446788700003736
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main aim of this paper is to obtain optimality conditions for a constrained set-valued optimization problem. The concept of Clarke epiderivative is introduced and is used to derive necessary optimality conditions. In order to establish sufficient optimality criteria we introduce a new class of set-valued maps which extends the class of convex set-valued maps and is different from the class of invex set-valued maps.
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页码：221 / 231
页数：11
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