The Lagrange multiplier rule in set-valued optimization

被引:0
|
作者
Götz, A
Jahn, J
机构
关键词
optimality conditions; convex and set-valued analysis; vector optimization;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The known Lagrange multiplier rule is extended to set-valued constrained optimization problems using the contingent epiderivative as differentiability notion. A necessary optimality condition for weak minimizers is derived which is also a sufficient condition under generalized convexity assumptions.
引用
收藏
页码:331 / 344
页数:14
相关论文
共 50 条
  • [21] Explicitly quasiconvex set-valued optimization
    Nicolae Popovici
    Journal of Global Optimization, 2007, 38 : 103 - 118
  • [22] On super efficiency in set-valued optimization
    LI Taiyong XU Yihong Department of MathematicsNanchang UniversityNanchang China Tianmu CollegeZhejiang Forestry UniversityLinan China
    Applied Mathematics:A Journal of Chinese Universities(Series B), 2009, 24 (02) : 144 - 150
  • [23] A vectorization for nonconvex set-valued optimization
    Karaman, Emrah
    Atasever Guvenc, Ilknur
    Soyertem, Mustafa
    Tozkan, Didem
    Kucuk, Mahide
    Kucuk, Yalcin
    TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (04) : 1815 - 1832
  • [24] On robustness for set-valued optimization problems
    Kuntal Som
    V. Vetrivel
    Journal of Global Optimization, 2021, 79 : 905 - 925
  • [25] On super efficiency in set-valued optimization
    Tai-yong Li
    Yi-hong Xu
    Applied Mathematics-A Journal of Chinese Universities, 2009, 24 : 144 - 150
  • [26] Lagrangian Duality in Set-Valued Optimization
    E. Hernández
    L. Rodríguez-Marín
    Journal of Optimization Theory and Applications, 2007, 134 : 119 - 134
  • [27] Lagrangian duality in set-valued optimization
    Hernandez, E.
    Rodriguez-Marin, L.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2007, 134 (01) : 119 - 134
  • [28] On super efficiency in set-valued optimization
    Li Tai-yong
    Xu Yi-hong
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2009, 24 (02) : 144 - 150
  • [29] On solutions of set-valued optimization problems
    Hernandez, Elvira
    Rodriguez-Marin, Luis
    Sama, Miguel
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (05) : 1401 - 1408
  • [30] On super efficiency in set-valued optimization
    LI Tai-yong1
    Applied Mathematics:A Journal of Chinese Universities, 2009, (02) : 144 - 150