On Nonsmooth Multiobjective Semi-Infinite Programming Problems with Mixed Constraints

被引：0

作者：

Soroush, H. ^{[1
]}

机构：

[1] Payame Noor Univ PNU, Dept Math, Math, Tehran, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2023年 / 17卷 / 01期

关键词：

Optimality conditions; Semi-infinite prob-lem; Multiobjective optimization; Constraint qualification; OPTIMALITY CONDITIONS; QUALIFICATIONS; SYSTEMS;

D O I：

10.30495/JME.2023.2500

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the multiobjective semi-infinite programming problems with feasible sets defined by equality and inequality con-straints, in which the objective and the constraints functions are lo-cally Lipschitz. First, we introduce an Arrow-Hurwitcz-Uzawa type con-straint qualification which is based on the Clarke subdifferential. Then, we derive the strong Karush-Kuhn-Tucker type necessary optimality condition for properly efficient solutions of the considered problems.

引用

页数：1

共 28 条

[1]

Arrow KennethJ., 1961, Naval Research Logistics Quarterly, V8, P175, DOI DOI 10.1002/NAV.3800080206

[2]

Clarke F. H., 1983, CANADIAN MATH SOC SE

[3]

Ehrgott M., 2005, Multicriteria optimization

[4] Optimality conditions in convex multiobjective SIP [J].

Goberna, Miguel A. ;

Kanzi, Nader .

MATHEMATICAL PROGRAMMING, 2017, 164 (1-2) :167-191

[5]

Gorberna M.A., 1998, LINEAR SEMIINFINITE

[6] Weak Slater Qualification for Nonconvex Multiobjective Semi-infinite Programming [J].

Habibi, Sakineh ;

Kanzi, Nader ;

Ebadian, Ali .

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2020, 44 (02) :417-424

[7] SEMIINFINITE PROGRAMMING - THEORY, METHODS, AND APPLICATIONS [J].

HETTICH, R ;

KORTANEK, KO .

SIAM REVIEW, 1993, 35 (03) :380-429

[8]

Hiriart-Urruty J., 1991, CONVEX ANAL MINIMIZA

[9]

Kanz N, 2017, PAC J OPTIM, V13, P43

[10]

Kanzi N, 2014, J MATH EXT, V8, P83

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