Duality in nondifferentiable minimax fractional programming with generalized convexity

被引：32
作者：
Ahmad, I. [1 ]
Husain, Z. [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 176卷 / 02期
关键词：
nondifferentiable minimax programming; fractional programming; duality; generalized convexity;
D O I：
10.1016/j.amc.2005.10.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Mond-Weir type dual for a class of nondifferentiable minimax fractional programming problem is considered. Appropriate duality results are proved involving (F,alpha,rho,d)-pseudoconvex functions. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：545 / 551
页数：7
相关论文
共 20 条
[1]  
Ahmad I., 2003, INT J MANAGEMENT SYS, V19, P165
[2]  
BAJONAXANDRI C, 1998, OPTIMIZATION
[3]   BEST RATIONAL APPROXIMATION AND STRICT QUASI-CONVEXITY [J].
BARRODALE, I .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1973, 10 (01) :8-12
[4]  
BECTOR CR, 1985, UTILITAS MATHEMATICA, V27, P229
[5]   DUALITY IN FRACTIONAL MINIMAX PROGRAMMING [J].
CHANDRA, S ;
KUMAR, V .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1995, 58 :376-386
[6]   Some properties for the Euclidean distance matrix and positive semidefinite matrix completion problems [J].
Huang, HX ;
Liang, ZA ;
Pardalos, PM .
JOURNAL OF GLOBAL OPTIMIZATION, 2003, 25 (01) :3-21
[7]   On duality theorems for a nondifferentiable minimax fractional programming [J].
Lai, HC ;
Lee, JC .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 146 (01) :115-126
[8]   Necessary and sufficient conditions for minimax fractional programming [J].
Lai, HC ;
Liu, JC ;
Tanaka, K .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 230 (02) :311-328
[9]   Optimality conditions and duality for a minimax fractional programming with generalized convexity [J].
Liang, ZA ;
Shi, ZW .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (02) :474-488
[10]   Optimality conditions and duality for a class of nonlinear fractional programming problems [J].
Liang, ZA ;
Huang, HX ;
Pardalos, PM .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 110 (03) :611-619
12