On optimality and duality for nonsmooth multiobjective fractional optimization problems

被引：7
|
作者：
Kim, Gwi Soo [1 ]
Kim, Moon Hee [1 ]
Lee, Gue Myung [1 ]
机构：
[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 5-7期
关键词：
Multiobjective fractional optimization problem; Nearly invex function; Weakly efficient solution; Optimality condition; Duality theorems;
D O I：
10.1016/j.na.2005.03.051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a nonsmooth multiobjective fractional program. For sufficient optimality conditions, we define the nearly invex functions for locally Lipschitz vector-valued functions. We obtain generalized sufficient optimality theorems and prove weak and strong duality theorems for the multiobjective fractional optimization problem involving nearly invex functions. (C) 2005 Elsevier Ltd. All rights reserved.
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页码：E1867 / E1876
页数：10
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