A generalization of Fenchel duality in set-valued vector optimization

被引:27
作者
Song, W [1 ]
机构
[1] Harbin Norma Univ, Dept Math, Harbin 150080, Peoples R China
[2] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland
关键词
set-valued vector optimization; Fenchel duality; convexity; continuity; boundedness;
D O I
10.1007/s001860050027
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
A Fenchel duality result is presented for a convex set-valued vector optimization problem under boundedness or continuity hypotheses.
引用
收藏
页码:259 / 272
页数:14
相关论文
共 26 条
[1]  
[Anonymous], 1986, ANN SCI MATH QUE
[2]  
[Anonymous], 1972, REV DANALYSE NUMRIQU
[3]   A LAGRANGE MULTIPLIER THEOREM AND A SANDWICH THEOREM FOR CONVEX RELATIONS [J].
BORWEIN, JM .
MATHEMATICA SCANDINAVICA, 1981, 48 (02) :189-204
[4]   DUALITY FOR MULTIPLE OBJECTIVE CONVEX-PROGRAMS [J].
BRUMELLE, S .
MATHEMATICS OF OPERATIONS RESEARCH, 1981, 6 (02) :159-172
[5]   EXISTENCE AND LAGRANGIAN-DUALITY FOR MAXIMIZATIONS OF SET-VALUED FUNCTIONS [J].
CORLEY, HW .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 54 (03) :489-501
[6]  
Dolecki S., 1993, Optimization, V27, P97, DOI 10.1080/02331939308843875
[7]  
Ekeland I., 1976, CONVEX ANAL VARIATIO
[8]   ON CONJUGATE CONVEX FUNCTIONS [J].
FENCHEL, W .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1949, 1 (01) :73-77
[9]  
FENCHEL W, 1953, LECT NOTES PRINCETON
[10]  
Isac G., 1993, BEST APPROXIMATION O