Some properties of approximate solutions for vector optimization problem with set-valued functions

被引：48

作者：

Qiu, Qiusheng ^{[2
,3
]}

Yang, Xinmin ^{[1
]}

机构：

[1] Chongqing Normal Univ, Dept Math, Chongqing, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China

[3] Shanghai Univ, Dept Math, Shanghai, Peoples R China

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2010年 / 47卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Vector optimization; Set-valued function; Scalarization; Approximate solution; Quasiconvex set-valued function;

D O I：

10.1007/s10898-009-9452-9

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 study the approximate solutions for vector optimization problem with set-valued functions. The scalar characterization is derived without imposing any convexity assumption on the objective functions. The relationships between approximate solutions and weak efficient solutions are discussed. In particular, we prove the connectedness of the set of approximate solutions under the condition that the objective functions are quasiconvex set-valued functions.

引用

页码：1 / 12

页数：12

共 22 条

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