Optimality and duality in nonsmooth multiobjective optimization involving generalized type I functions

被引：16

作者：

Kuk, H ^{[1
]}

Tanino, T

机构：

[1] Kyung Hee Univ, Dept Math, Sch Elect & Informat, Yongin 449701, South Korea

[2] Osaka Univ, Grad Sch Engn, Dept Elect & Informat Syst, Suita, Osaka 5650871, Japan

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2003年 / 45卷 / 10-11期

关键词：

nonsmooth multiobjective optimization; type I functions; optimality; duality;

D O I：

10.1016/S0898-1221(03)00133-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonsmooth multiobjective optimization problem involving generalized Type I vector-valued functions is considered. Karush-Kuhn-Tucker type necessary and sufficient optimality conditions are obtained for a feasible point to be an efficient or properly efficient solution. Duality theorems are proved for Wolfe type and Mond-Weir type duals under the generalized Type I assumptions. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：1497 / 1506

页数：10

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