A Duality Approach for a Class of Semivectorial Bilevel Programming Problems

被引：3

作者：

Aboussoror, Abdelmalek ^{[1
]}

Adly, Samir ^{[2
]}

Saissi, Fatima Ezzahra ^{[1
,2
]}

机构：

[1] Univ Cadi Ayyad, Fac Polydisciplinaire Safi, Lab LMC, BP 4162, Sidi Bouzid, Safi, Morocco

[2] Univ Limoges, Fac Sci & Tech, Lab XLIM, UMR 6172,CNRS, 123 Ave Albert Thomas, F-87060 Limoges, France

来源：

VIETNAM JOURNAL OF MATHEMATICS | 2018年 / 46卷 / 01期

关键词：

Bilevel programming; Vectorial programming; Convex analysis; Duality; Stability;

D O I：

10.1007/s10013-017-0268-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present a duality approach using conjugacy for a semivectorial bilevel programming problem (S) where the upper and lower levels are vectorial and scalar respectively. This approach uses the Fenchel-Lagrange duality and is given via a regularization of problem (S) and the operation of scalarization. Then, using this approach, we provide necessary optimality conditions for a class of properly efficient solutions of (S). Finally, sufficient optimality conditions are given for (S) regardless of the duality approach. Examples are given for illustration.

引用

页码：197 / 214

页数：18

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