Characterizations of improvement sets via quasi interior and applications in vector optimization

被引：7
|
作者：
Xia, Yuan Mei [1 ]
Zhang, Wan Li [1 ]
Zhao, Ke Quan [1 ]
机构：
[1] Chongqing Normal Univ, Coll Math Sci, Chongqing 401331, Peoples R China
来源：
OPTIMIZATION LETTERS | 2016年 / 10卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Improvement sets; Quasi interior; Weak E-efficient solutions; Scalarization; Vector optimization problems with set-valued maps; QUASIRELATIVE INTERIOR; DUALITY; EFFICIENCY;
D O I：
10.1007/s11590-015-0897-0
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 first give some characterizations of improvement sets via quasi interior. Furthermore, as applications of these characterizations, we establish an alternative theorem via improvement sets and quasi interior, and then obtain a scalarization result of weak -efficient solutions defined by improvement sets and quasi interior for vector optimization problems with set-valued maps. Moreover, we also present some examples to illustrate the main conditions and results.
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页码：769 / 780
页数：12
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