A CHARACTERIZATION OF PROPERLY MINIMAL ELEMENTS OF A SET

被引:28
作者
JAHN, J [1 ]
机构
[1] N CAROLINA STATE UNIV,DEPT MATH,RALEIGH,NC 27695
关键词
D O I
10.1137/0323041
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
19
引用
收藏
页码:649 / 656
页数:8
相关论文
共 19 条
[1]   VECTOR MAXIMIZATION PROBLEM - PROPER EFFICIENCY AND STABILITY [J].
BENSON, HP ;
MORIN, TL .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1977, 32 (01) :64-72
[2]   IMPROVED DEFINITION OF PROPER EFFICIENCY FOR VECTOR MAXIMIZATION WITH RESPECT TO CONES [J].
BENSON, HP .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 71 (01) :232-241
[3]   PROPER EFFICIENT POINTS FOR MAXIMIZATIONS WITH RESPECT TO CONES [J].
BORWEIN, J .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1977, 15 (01) :57-63
[4]  
Borwein J. M., 1980, Mathematische Operationsforschung und Statistik, Series Optimization, V11, P235, DOI 10.1080/02331938008842650
[5]   2 KINDS OF NORMALITY IN VECTOR OPTIMIZATION [J].
BORWEIN, JM ;
NIEUWENHUIS, JW .
MATHEMATICAL PROGRAMMING, 1984, 28 (02) :185-191
[6]  
DINKELBACH W, 1972, OPERATIONS RES VERFA, V12, P69
[7]   PROPER EFFICIENCY AND THEORY OF VECTOR MAXIMIZATION [J].
GEOFFRION, AM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 22 (03) :618-+
[8]   CONE-EFFICIENCY, CONE-CONVEXITY AND CONE-COMPACTNESS [J].
HARTLEY, R .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 34 (02) :211-222
[9]   PROPER EFFICIENCY WITH RESPECT TO CONES [J].
HENIG, MI .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1982, 36 (03) :387-407
[10]   A CONE SEPARATION THEOREM [J].
HENIG, MI .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1982, 36 (03) :451-455