On cone convexity of set-valued maps

被引:149
作者
Kuroiwa, D [1 ]
Tanaka, T
Truong, XDH
机构
[1] Shimane Univ, Interdisciplinary Fac Sci & Engn, Dept Math & Comp Sci, Matsue, Shimane 690, Japan
[2] Hirosaki Univ, Fac Sci, Dept Informat Sci, Hirosaki, Aomori 036, Japan
[3] Hanoi Inst Math, Hanoi, Vietnam
关键词
set-valued analysis; convexity of set-valued maps; cone-convexity; cone-convexlikeness; quasi cone-convexity; properly quasi cone-convexity; naturally quasi cone-convexity;
D O I
10.1016/S0362-546X(97)00213-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:1487 / 1496
页数:10
相关论文
共 17 条
[1]  
Aubin J.-P., 1990, Set-valued analysis, DOI 10.1007/978-0-8176-4848-0
[2]   MULTIVALUED CONVEXITY AND OPTIMIZATION - UNIFIED APPROACH TO INEQUALITY AND EQUALITY CONSTRAINTS [J].
BORWEIN, J .
MATHEMATICAL PROGRAMMING, 1977, 13 (02) :183-199
[3]   OPTIMALITY CONDITIONS FOR MAXIMIZATIONS OF SET-VALUED FUNCTIONS [J].
CORLEY, HW .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1988, 58 (01) :1-10
[4]   EXISTENCE AND LAGRANGIAN-DUALITY FOR MAXIMIZATIONS OF SET-VALUED FUNCTIONS [J].
CORLEY, HW .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 54 (03) :489-501
[5]  
HA TXD, 1995, DEMICONTINUITY CONE, V15
[6]   Convexity for set-valued maps [J].
Kuroiwa, D .
APPLIED MATHEMATICS LETTERS, 1996, 9 (02) :97-101
[7]  
KUROIWA D, 1996, THESIS NIIGATA U NII
[8]  
Luc D. T., 1989, THEORY VECTOR OPTIMI
[9]   AN EXISTENCE THEOREM IN VECTOR OPTIMIZATION [J].
LUC, DT .
MATHEMATICS OF OPERATIONS RESEARCH, 1989, 14 (04) :693-699
[10]  
LUC DT, 1992, NONLINEAR ANAL-THEOR, V18, P1