OPTIMALITY CONDITIONS FOR SHARP MINIMALITY OF ORDER gamma IN SET-VALUED OPTIMIZATION

被引：2

作者：

Amahroq, Tijani ^{[1
]}

Daidai, Ikram ^{[1
]}

Syam, Aicha ^{[1
]}

机构：

[1] Univ Cadi Ayyad, Dept Math, Fac Sci & Tech, Marrakech, Morocco

来源：

MATEMATICHE | 2018年 / 73卷 / 01期

关键词：

Sharp minimality of order gamma; Optmality conditions; Strong convexity; Set-valued maps;

D O I：

10.4418/2018.73.1.7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sharp minimizers of order gamma are defined for set-valued optimization problems. Necessary and sufficient conditions are given for such minimizers, this allows us to extend the well known results obtained in the scalar and vectorial cases by Auslender [6], Studniarski [21], Ward [24] and Jimenez [12, 13].

引用

页码：99 / 114

页数：16

共 26 条

[1]

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[2]

Amahroq T., 2017, J NONLINEAR CONVEX A

[3]

Amahroq T, 1997, OPTIMIZATION, V41, P159, DOI DOI 10.1080/02331939708844332

[4]

Aubin J.P., 1990, SET-VALUED ANAL, DOI 10.1007/978-0-8176-4848-0