Generalized invexity and duality in multiobjective programming problems

被引：84

作者：

Aghezzaf, B ^{[1
]}

Hachimi, M ^{[1
]}

机构：

[1] Fac Sci Ain Chock, Dept Math & Informat, Casablanca, Morocco

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2000年 / 18卷 / 01期

关键词：

multiobjective programming; efficient solution; convexity; invexity; type I; weak; strong; converse duality;

D O I：

10.1023/A:1008321026317

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：

In this paper, we are concerned with the multiobjective programming problem with inequality constraints. We introduce new classes of generalized type I vector-valued functions. Duality theorems are proved for Mond-Weir and general Mond-Weir type duality under the above generalized type I assumptions.

引用

页码：91 / 101

页数：11

共 12 条

[1]

AGHEZZAF B, 1998, P 2 INT C APPL MATH, P16

[2]

[Anonymous], ANAL NUMER THEOR APP

[3] CONSTRAINED MINIMIZATION UNDER VECTOR-VALUED CRITERIA IN FINITE DIMENSIONAL SPACES [J].

DACUNHA, NO ;

POLAK, E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1967, 19 (01) :103-+

[4] EFFICIENCY AND GENERALIZED CONVEX DUALITY FOR MULTIOBJECTIVE PROGRAMS [J].

EGUDO, RR .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 138 (01) :84-94

[5]

Giorgi G, 1998, NONCON OPTIM ITS APP, V27, P389

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

HANSON, MA ;

MOND, B .

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

[7] ON SUFFICIENCY OF THE KUHN-TUCKER CONDITIONS [J].

HANSON, MA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (02) :545-550

[8] 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

[9] CONSTRAINT QUALIFICATIONS IN MULTIOBJECTIVE OPTIMIZATION PROBLEMS - DIFFERENTIABLE CASE [J].

MAEDA, T .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 80 (03) :483-500

[10]

MANAGASARIAN OL, 1969, NONLINEAR PROGRAMMIN

← 1 2 →