Necessary and sufficient optimality conditions for set-valued optimization problems

被引：2

作者：

Benkenza, Najia ^{[1
]}

Gadhi, Nazih ^{[2
]}

Lafhim, Lahoussine ^{[3
]}

机构：

[1] Univ Bouchaib Doukali, Fac Sci, Dept Math, El Jadida, Morocco

[2] Sidi Mohamed Ben Abdellah Univ, Dept Math, Dhar El Mehrez, Fes, Morocco

[3] Univ Mohammed 5, Dept Math, Fac Sci, Rabat, Morocco

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2011年 / 18卷 / 01期

关键词：

Banach space; Lagrange-Fritz-John multipliers; optimality condition; set-valued optimization; Pareto minimal point; CONTINGENT EPIDERIVATIVES;

D O I：

10.1515/GMJ.2011.0003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using a special scalarization employed for the first time for the study of necessary optimality conditions in vector optimization by Ciligot-Travain [3], we give necessary optimality conditions for a set-valued optimization problem by establishing the existence of Lagrange-Fritz-John multipliers. Also, sufficient optimality conditions are given without any Lipschitz assumption.

引用

页码：53 / 66

页数：14

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