TOPOLOGICAL STRUCTURE OF EFFICIENT SET OF OPTIMIZATION PROBLEM OF SET-VALUED MAPPING

被引:4
|
作者
LI YUANXI
机构
关键词
Optimization of set-valued mapping; Vector optimization; Efficient solution; Cone-convexity; Cone-quasiconvexity; Closedness; Connectedness;
D O I
暂无
中图分类号
O224 [最优化的数学理论];
学科分类号
070105 ; 1201 ;
摘要
TOPOLOGICAL STRUCTURE OF EFFICIENT SET OF OPTIMIZATION PROBLEM OF SET-VALUED MAPPING ¥LIYUANXIAbstract:Thispaperisconcernedwi...
引用
收藏
页码:115 / 122
页数:8
相关论文
共 50 条
  • [11] Optimality conditions for various efficient solutions involving coderivatives: From set-valued optimization problems to set-valued equilibrium problems
    Truong Xuan Duc Ha
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (03) : 1305 - 1323
  • [12] STRICT EFFICIENCY IN SET-VALUED OPTIMIZATION
    Flores-Bazan, Fabian
    Jimenez, Bienvenido
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (02) : 881 - 908
  • [13] Contingent epiderivatives and set-valued optimization
    Jahn, J
    Rauh, R
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 1997, 46 (02) : 193 - 211
  • [14] 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
  • [15] Contingent epiderivatives and set-valued optimization
    Johannes Jahn
    Rüdiger Rauh
    Mathematical Methods of Operations Research, 1997, 46 : 193 - 211
  • [16] Optimality for set-valued optimization in the sense of vector and set criteria
    Xiangyu Kong
    GuoLin Yu
    Wei Liu
    Journal of Inequalities and Applications, 2017
  • [17] Optimality for set-valued optimization in the sense of vector and set criteria
    Kong, Xiangyu
    Yu, GuoLin
    Liu, Wei
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [18] Super efficient solutions for set-valued maps
    Oveisiha, M.
    Zafarani, J.
    OPTIMIZATION, 2013, 62 (06) : 817 - 834
  • [19] The Lagrange multiplier rule in set-valued optimization
    Götz, A
    Jahn, J
    SIAM JOURNAL ON OPTIMIZATION, 2000, 10 (02) : 331 - 344
  • [20] Theorems of the Alternative and Optimization with Set-Valued Maps
    X. M. Yang
    X. Q. Yang
    G. Y. Chen
    Journal of Optimization Theory and Applications, 2000, 107 : 627 - 640