TOPOLOGICAL　STRUCTURE　OF　EFFICIENT　SET　OF　OPTIMIZATION　PROBLEM　OF　SET－VALUED　MAPPING

被引：4
作者：
LI YUANXI
机构：
来源：
Chinese Annals of Mathematics | 1994年 / 01期
关键词：
Optimization of set-valued mapping; Vector optimization; Efficient solution; Cone-convexity; Cone-quasiconvexity; Closedness; Connectedness;
D O I：
暂无
中图分类号：
O224 [最优化的数学理论];
学科分类号：
070105 ; 1201 ;
摘要：
ＴＯＰＯＬＯＧＩＣＡＬ ＳＴＲＵＣＴＵＲＥ ＯＦ ＥＦＦＩＣＩＥＮＴ ＳＥＴ ＯＦ ＯＰＴＩＭＩＺＡＴＩＯＮ ＰＲＯＢＬＥＭ ＯＦ ＳＥＴ－ＶＡＬＵＥＤ ＭＡＰＰＩＮＧ ￥ＬＩＹＵＡＮＸＩＡｂｓｔｒａｃｔ：Ｔｈｉｓｐａｐｅｒｉｓｃｏｎｃｅｒｎｅｄｗｉ...
引用
收藏
页码：115 / 122
页数：8
相关论文
共 50 条
[11]   A vectorization for nonconvex set-valued optimization [J].
Karaman, Emrah ;
Atasever Guvenc, Ilknur ;
Soyertem, Mustafa ;
Tozkan, Didem ;
Kucuk, Mahide ;
Kucuk, Yalcin .
TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (04) :1815-1832
[12]   Optimality conditions for various efficient solutions involving coderivatives: From set-valued optimization problems to set-valued equilibrium problems [J].
Truong Xuan Duc Ha .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (03) :1305-1323
[13]   STRICT EFFICIENCY IN SET-VALUED OPTIMIZATION [J].
Flores-Bazan, Fabian ;
Jimenez, Bienvenido .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (02) :881-908
[14]   Contingent epiderivatives and set-valued optimization [J].
Jahn, J ;
Rauh, R .
MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 1997, 46 (02) :193-211
[15]   Contingent epiderivatives and set-valued optimization [J].
Johannes Jahn ;
Rüdiger Rauh .
Mathematical Methods of Operations Research, 1997, 46 :193-211
[16]   Optimality for set-valued optimization in the sense of vector and set criteria [J].
Xiangyu Kong ;
GuoLin Yu ;
Wei Liu .
Journal of Inequalities and Applications, 2017
[17]   Optimality for set-valued optimization in the sense of vector and set criteria [J].
Kong, Xiangyu ;
Yu, GuoLin ;
Liu, Wei .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[18]   Super efficient solutions for set-valued maps [J].
Oveisiha, M. ;
Zafarani, J. .
OPTIMIZATION, 2013, 62 (06) :817-834
[19]   The Lagrange multiplier rule in set-valued optimization [J].
Götz, A ;
Jahn, J .
SIAM JOURNAL ON OPTIMIZATION, 2000, 10 (02) :331-344
[20]   Theorems of the Alternative and Optimization with Set-Valued Maps [J].
X. M. Yang ;
X. Q. Yang ;
G. Y. Chen .
Journal of Optimization Theory and Applications, 2000, 107 :627-640
12345