OPTIMALITY FOR SET-FUNCTIONS WITH VALUES IN ORDERED VECTOR-SPACES

被引:7
作者
LAI, HC
LIN, LJ
机构
[1] NATL CHANGHUA UNIV EDUC,DEPT MATH,CHANGHUA,PEOPLES R CHINA
[2] NATL TSING HUA UNIV,INST MATH,HSINCHU 300,TAIWAN
关键词
D O I
10.1007/BF00939803
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
引用
收藏
页码:371 / 389
页数:19
相关论文
共 18 条
[1]   2ND ORDER OPTIMALITY CONDITIONS FOR MATHEMATICAL-PROGRAMMING WITH SET-FUNCTIONS [J].
CHOU, JH ;
HSIA, WS ;
LEE, TY .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1985, 26 (JAN) :284-292
[2]   ON MULTIPLE OBJECTIVE PROGRAMMING-PROBLEMS WITH SET-FUNCTIONS [J].
CHOU, JH ;
HSIA, WS ;
LEE, TY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1985, 105 (02) :383-394
[3]   EPIGRAPHS OF CONVEX SET-FUNCTIONS [J].
CHOU, JH ;
HSIA, WS ;
LEE, TY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 118 (01) :247-254
[4]   DUALITY-THEORY FOR MAXIMIZATIONS WITH RESPECT TO CONES [J].
CORLEY, HW .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 84 (02) :560-568
[5]   DUALITY THEOREMS AND AN OPTIMALITY CONDITION FOR NON-DIFFERENTIABLE CONVEX-PROGRAMMING [J].
KANNIAPPAN, P ;
SASTRY, SMA .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1982, 32 (JUN) :369-379
[6]  
Kanniappan P., 1980, Bulletin of the Australian Mathematical Society, V22, P145, DOI 10.1017/S0004972700006419
[7]   DUALITY THEOREM OF NONDIFFERENTIABLE CONVEX MULTIOBJECTIVE PROGRAMMING [J].
LAI, HC ;
HO, CP .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1986, 50 (03) :407-420
[8]   MOREAU-ROCKAFELLAR TYPE THEOREM FOR CONVEX SET-FUNCTIONS [J].
LAI, HC ;
LIN, LJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 132 (02) :558-571
[9]   SADDLE-POINT AND DUALITY IN THE OPTIMIZATION THEORY OF CONVEX SET-FUNCTIONS [J].
LAI, HC ;
YANG, SS .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1982, 24 (OCT) :130-137
[10]   THE FENCHEL-MOREAU THEOREM FOR SET-FUNCTIONS [J].
LAI, HC ;
LIN, LJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 103 (01) :85-90