Characterizations of super efficiency in cone-convexlike vector optimization with set-valued maps

被引：0
|
作者：
Wei Dong Rong
Yu Nan Wu
机构：
[1] Department of Mathematics,
[2] University of Inner Mongolia,undefined
[3] Hohhot,undefined
[4] 010021,undefined
[5] Inner Mongolia,undefined
[6] P. R. China,undefined
来源：
Mathematical Methods of Operations Research | 1998年 / 48卷
关键词：
Key words: Set-valued map; vector optimization; cone-convexlikeness; super efficiency; Lagrange multipliers; super duality.;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we extend the concept of cone-convexlikeness of single-valued maps to set-valued maps and study super efficiency in cone-convexlike vector optimization with set-valued maps. Under the assumption of the cone-convexlikeness, some characterizations of super efficiency are established in terms of the scalarization, Lagrange multipliers and super duality, respectively.
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页码：247 / 258
页数：11
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