Some vector optimization problems in Banach spaces with generalized convexity

被引：6

作者：

Yu, Guolin ^{[1
]}

Liu, Sanyang

机构：

[1] N Univ Ethics, Res Inst Informat & Syst Comp Sci, Yinchuan 750021, Peoples R China

[2] Xidian Univ, Dept Math Appl, Xian, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 11-12期

基金：

中国国家自然科学基金;

关键词：

vector optimization; optimality conditions; generalized convexity; type-I functions; duality;

D O I：

10.1016/j.camwa.2007.05.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. New classes of generalized type-I functions are introduced for functions between Banach spaces. Based upon these generalized type-I functions, we obtain a few sufficient optimality conditions and prove some results on duality. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：1403 / 1410

页数：8

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