A generalization of Fenchel duality in set-valued vector optimization

被引:26
|
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 50 条
  • [1] Generalization of Fenchel duality in set-valued vector optimization
    Song, Wen
    [J]. Mathematical Methods of Operations Research, 48 (02): : 259 - 272
  • [2] A generalization of Fenchel duality in set-valued vector optimization
    Wen Song
    [J]. Mathematical Methods of Operations Research, 1998, 48 : 259 - 272
  • [3] A Fenchel-Rockafellar duality theorem for set-valued optimization
    Hamel, Andreas H.
    [J]. OPTIMIZATION, 2011, 60 (8-9) : 1023 - 1043
  • [4] Conjugate duality in set-valued vector optimization
    Song, W
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 216 (01) : 265 - 283
  • [5] Duality for vector optimization of set-valued functions
    Song, W
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 201 (01) : 212 - 225
  • [6] Approximate Fenchel-Lagrangian Duality for Constrained Set-Valued Optimization Problems
    Wang, Hai-Jun
    Cheng, Cao-Zong
    Fan, Xiao-Dong
    [J]. OPERATIONS RESEARCH AND ITS APPLICATIONS: IN ENGINEERING, TECHNOLOGY AND MANAGEMENT, 2011, 14 : 126 - 132
  • [7] Conjugate Duality in Constrained Set-Valued Vector Optimization Problems
    Li, S. J.
    Sun, X. K.
    Liu, H. M.
    Yao, S. F.
    Teo, K. L.
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (01) : 65 - 82
  • [8] LAGRANGIAN DUALITY FOR VECTOR OPTIMIZATION PROBLEMS WITH SET-VALUED MAPPINGS
    Long, Xian-Jun
    Peng, Jian-Wen
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (01): : 287 - 297
  • [9] Lagrangian Duality in Set-Valued Optimization
    E. Hernández
    L. Rodríguez-Marín
    [J]. Journal of Optimization Theory and Applications, 2007, 134 : 119 - 134
  • [10] Lagrangian duality in set-valued optimization
    Hernandez, E.
    Rodriguez-Marin, L.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2007, 134 (01) : 119 - 134