Sufficiency and duality of fractional integral programming with generalized invexity

被引：4

作者：

Lai, Hang-Chin ^{[1
]}

机构：

[1] Chung Yuan Christian Univ, Dept Math, Chungli 320, Taiwan

[2] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2006年 / 10卷 / 06期

关键词：

nondifferentiable fractional variational programming; invexity; quasi-invexity; pseudoinvexity; duality;

D O I：

10.11650/twjm/1500404583

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Convexity assumptions for fractional programming of variational type are relaxed to generalized invexity. The sufficient optimality conditions are employed to construct a mixed dual programming problem. It will involve the Wolfe type dual and Mond-Weir type dual as its special situations. Several duality theorems concerning weak, strong, and strict converse duality Under the framework in mixed type dual form are proved.

引用

页码：1685 / 1695

页数：11

共 12 条

[1]

Bector C. R., 1994, Optimization, V30, P93, DOI 10.1080/02331939408843974

[2] GENERALIZED FRACTIONAL-PROGRAMMING DUALITY - A RATIO GAME APPROACH [J].

CHANDRA, S ;

CRAVEN, BD ;

MOND, B .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1986, 28 :170-180

[3]

Chen J. C., 2003, J NONLINEAR CONVEX A, V4, P25

[4] INVEX FUNCTIONS AND CONSTRAINED LOCAL MINIMA [J].

CRAVEN, BD .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1981, 24 (03) :357-366

[5] DUALITY IN GENERALIZED LINEAR FRACTIONAL-PROGRAMMING [J].

CROUZEIX, JP ;

FERLAND, JA ;

SCHAIBLE, S .

MATHEMATICAL PROGRAMMING, 1983, 27 (03) :342-354

[6]

Jeyakumar V., 1985, Methods of Operations Research, P109

[7] Minimax fractional programming involving generalised invex functions [J].

Lai, HC ;

Liu, JC .

ANZIAM JOURNAL, 2003, 44 :339-354

[8] Parameter-free dual models for fractional programming with generalized invexity [J].

Lee, JC ;

Lai, HC .

ANNALS OF OPERATIONS RESEARCH, 2005, 133 (1-4) :47-61

[9] THE ESSENCE OF INVEXITY [J].

MARTIN, DH .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1985, 47 (01) :65-76

[10] DUALITY FOR VARIATIONAL-PROBLEMS WITH INVEXITY [J].

MOND, B ;

CHANDRA, S ;

HUSAIN, I .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 134 (02) :322-328

← 1 2 →