Symmetric duality in multiobjective programming involving generalized cone-invex functions

被引：47

作者：

Khurana, S ^{[1
]}

机构：

[1] Univ Delhi, Dept Math, Daulat Ram Coll, Delhi 110007, India

来源：

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2005年 / 165卷 / 03期

关键词：

mathematical programming; multiobjective symmetric duality; cones; pseudoinvexity;

D O I：

10.1016/j.ejor.2003.03.004

中图分类号：

C93 [管理学];

学科分类号：

12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, cone-pseudoinvex and strongly cone-pseudoinvex functions are defined. A pair of Mond-Weir type symmetric dual multiobjective programs is formulated over arbitrary cones. Weak duality, strong duality and converse duality theorems are established using the above-defined functions. A self-duality theorem is also given by assuming the functions involved to be skew-symmetric. (c) 2004 Published by Elsevier B.V.

引用

页码：592 / 597

页数：6

共 11 条

[1] SYMMETRIC DUALITY IN NONLINEAR PROGRAMMING [J].

BAZARAA, MS ;

GOODE, JJ .

OPERATIONS RESEARCH, 1973, 21 (01) :1-9

[2]

Cambini R., 1996, Optimization, V36, P11, DOI 10.1080/02331939608844161

[3] A note on pseudo-invexity and symmetric duality [J].

Chandra, S ;

Kumar, V .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1998, 105 (03) :626-629

[4] SYMMETRIC DUAL NONDIFFERENTIABLE PROGRAMS [J].

CHANDRA, S ;

HUSAIN, I .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1981, 24 (02) :295-307

[5] SYMMETRIC DUAL NONLINEAR PROGRAMS [J].

DANTZIG, GB ;

EISENBERG, E ;

COTTLE, RW .

PACIFIC JOURNAL OF MATHEMATICS, 1965, 15 (03) :809-+

[6]

Dorn W. S., 1960, J. Oper. Res. Soc. Japan, V2, P93

[7] Multiobjective symmetric duality with invexity [J].

Gulati, TR ;

Husain, I ;

Ahmed, A .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1997, 56 (01) :25-36

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

HANSON, MA .

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

[9]

Mond B., 1991, RECENT DEV MATH PROG, P137

[10]

MOND B, 1984, MATH OPERATIONSFORSC, V15, P313

← 1 2 →