Duality in vector optimization in Banach spaces with generalized convexity

被引：27

作者：

Mishra, SK ^{[1
]}

Giorgi, G

Wang, SY

机构：

[1] Govind Ballabh Pant Univ Agr & Technol, Coll Basic Sci & Humanities, Dept Math Stat & C Sc, Pantnagar 263145, Uttar Pradesh, India

[2] Univ Pavia, Dept Management Sci, Sect Gen & Appl Math, Pavia, Italy

[3] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2004年 / 29卷 / 04期

基金：

中国国家自然科学基金;

关键词：

duality; nonsmooth programming; optimality conditions; type-I functions; vector optimization;

D O I：

10.1023/B:JOGO.0000047911.03061.88

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider a vector optimization problem with functions defined on Banach spaces. A few sufficient optimality conditions are given and some results on duality are proved.

引用

页码：415 / 424

页数：10

共 18 条

[1]

Bhatja D., 1994, Optimization, V31, P153

[2] Optimality conditions for Pareto nonsmooth nonconvex programming in Banach spaces [J].

Brandao, AJV ;

Rojas-Medar, MA ;

Silva, GN .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 103 (01) :65-73

[3]

Clarke FH, 1983, OPTIMIZATION NONSMOO

[4] OPTIMALITY CONDITIONS FOR MULTIOBJECTIVE AND NONSMOOTH MINIMIZATION IN ABSTRACT SPACES [J].

COLADAS, L ;

LI, Z ;

WANG, S .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1994, 50 (02) :205-218

[5] NONSMOOTH MULTIOBJECTIVE PROGRAMMING [J].

CRAVEN, BD .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1989, 10 (1-2) :49-64

[6]

El Abdouni B., 1992, Optimization, V26, P277, DOI 10.1080/02331939208843857

[7]

Giorgi G, 1996, J INFORM OPTIM SCI, V17, P137

[8] NECESSARY AND SUFFICIENT CONDITIONS IN CONSTRAINED OPTIMIZATION [J].

HANSON, MA ;

MOND, B .

MATHEMATICAL PROGRAMMING, 1987, 37 (01) :51-58

[9] OPTIMALITY CRITERIA AND DUALITY IN MULTIPLE-OBJECTIVE OPTIMIZATION INVOLVING GENERALIZED INVEXITY [J].

KAUL, RN ;

SUNEJA, SK ;

SRIVASTAVA, MK .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 80 (03) :465-482

[10]

KIM DS, 1999, OPTIMALITY CONDITION, P608

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