OPTIMALITY CONDITIONS AND DUALITY IN MULTIOBJECTIVE GENERALIZED FRACTIONAL PROGRAMMING WITH GENERALIZED CONVEXITY

被引：0
|
作者：
Gao, Ying [1 ,2 ]
Rong, Weidong [1 ]
机构：
[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Inner Mongolia, Peoples R China
[2] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China
来源：
PACIFIC JOURNAL OF OPTIMIZATION | 2009年 / 5卷 / 03期
关键词：
multiobjective generalized fractional programming; optimality conditions; duality theorems; constraint qualification; generalized convexity;
D O I：
暂无
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 a nondifferentiable multiobjective generalized fractional programming problem. We present the Kuhn-Tucker type necessary condition for a weakly efficient solution, under the assumption of a kind of generalized Abadie Constraint Qualification. And then the Kuhn-Tucker type sufficient condition for weakly efficient solution is given under the assumption of (C, alpha, rho, d)-convexity. Subsequently, we apply the optimality conditions to formulate a kind of duality model and prove some duality theorems.
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页码：403 / 413
页数：11
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