Minimax fractional programming under nonsmooth generalized (F, ρ, θ)-d-univexity

被引：4
|
作者：
Zheng, X. J. [1 ]
Cheng, L.
机构：
[1] Zhejiang Normal Univ, Sch Math Phys & Informat Engn, Jinhua Zhejiang 321004, Peoples R China
[2] Jinhua Coll Profess & Technol, Normal Sch, Jinhua Zhejiang 321017, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 328卷 / 01期
关键词：
minimax fractional problem; duality; sufficient optimality conditions; generalized convex functions;
D O I：
10.1016/j.jmaa.2006.05.062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with a nondifferentiable minimax fractional problem with inequality constraints. We introduce a new class of generalized convex function, that is, nonsmooth generalized (F, rho, theta)-d-univex function. In the framework of the new concept, we derive Kuhn-Tucker type sufficient optimality conditions and establish weak, strong and converse duality theorems for the problem and its three different types of dual problems. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：676 / 689
页数：14
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