Nondifferentiable Higher Order Symmetric Duality under Invexity/Generalized Invexity

被引:4
作者
Gulati, T. R. [1 ]
Verma, Khushboo [1 ]
机构
[1] Indian Inst Technol, Dept Math, Roorkee 247667, Uttar Pradesh, India
关键词
Nondifferentiable higher-order dual models; symmetric duality; Duality theorems; Higher-order invexity/generalized invexity; Self duality; 2ND-ORDER;
D O I
10.2298/FIL1408661G
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce a pair of nondifferentiable higher-order symmetric dual models. Weak, strong and converse duality theorems for this pair are established under the assumption of higher-order invexity/generalized invexity. Self duality has been discussed assuming the function involved to be skew-symmetric. Several known results are obtained as special cases.
引用
收藏
页码:1661 / 1674
页数:14
相关论文
共 27 条
[1]   A note on higher-order nondifferentiable symmetric duality in multiobjective programming [J].
Agarwal, Ravi P. ;
Ahmad, Izhar ;
Gupta, S. K. .
APPLIED MATHEMATICS LETTERS, 2011, 24 (08) :1308-1311
[2]   Higher-order duality in nondifferentiable multiobjective programming [J].
Ahmad, I. ;
Husain, Z. ;
Sharma, Sarita .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2007, 28 (9-10) :989-1002
[4]   r-preinvexity and r-invexity in mathematical programming [J].
Antczak, T .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (3-4) :551-566
[5]  
Chandra S., 1998, Optimization, V43, P1
[6]  
Chen X. H., 2002, PREPRINT
[7]   A survey of recent developments in multiobjective optimization [J].
Chinchuluun, Altannar ;
Pardalos, Panos M. .
ANNALS OF OPERATIONS RESEARCH, 2007, 154 (01) :29-50
[8]   Optimality conditions and duality for nondifferentiable multiobjective fractional programming with generalized convexity [J].
Chinchuluun, Altannar ;
Yuan, Dehui ;
Pardalos, Panos M. .
ANNALS OF OPERATIONS RESEARCH, 2007, 154 (01) :133-147
[9]   INVEX FUNCTIONS AND CONSTRAINED LOCAL MINIMA [J].
CRAVEN, BD .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1981, 24 (03) :357-366
[10]   SYMMETRIC DUAL NONLINEAR PROGRAMS [J].
DANTZIG, GB ;
EISENBERG, E ;
COTTLE, RW .
PACIFIC JOURNAL OF MATHEMATICS, 1965, 15 (03) :809-+