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
  • [21] THE FERMAT RULE FOR SET OPTIMIZATION PROBLEMS WITH LIPSCHITZIAN SET-VALUED MAPPINGS
    Bouza, Gemayqzel
    Quintana, Ernest
    Tammer, Christiane
    Vu Anh Tuan
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (05) : 1137 - 1174
  • [22] Prederivatives of convex set-valued maps and applications to set optimization problems
    Gaydu, Michael
    Geoffroy, Michel H.
    Marcelin, Yvesner
    JOURNAL OF GLOBAL OPTIMIZATION, 2016, 64 (01) : 141 - 158
  • [23] Approximate solutions and scalarization in set-valued optimization
    Dhingra, Mansi
    Lalitha, C. S.
    OPTIMIZATION, 2017, 66 (11) : 1793 - 1805
  • [24] Theorems of the alternative and optimization with set-valued maps
    Yang, XM
    Yang, XQ
    Chen, GY
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2000, 107 (03) : 627 - 640
  • [25] Prederivatives of convex set-valued maps and applications to set optimization problems
    Michaël Gaydu
    Michel H. Geoffroy
    Yvesner Marcelin
    Journal of Global Optimization, 2016, 64 : 141 - 158
  • [26] Some properties of approximate solutions for vector optimization problem with set-valued functions
    Qiusheng Qiu
    Xinmin Yang
    Journal of Global Optimization, 2010, 47 : 1 - 12
  • [27] Some properties of approximate solutions for vector optimization problem with set-valued functions
    Qiu, Qiusheng
    Yang, Xinmin
    JOURNAL OF GLOBAL OPTIMIZATION, 2010, 47 (01) : 1 - 12
  • [28] Approximate weak efficiency of the set-valued optimization problem with variable ordering structures
    Zhou, Zhiang
    Wei, Wenbin
    Huang, Fei
    Zhao, Kequan
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2024, 48 (03)
  • [29] Strong duality with super efficiency in set-valued optimization
    Yu, Guolin
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (06): : 3261 - 3272
  • [30] A characterization of efficient saddle point for set-valued maps
    Tanaka, Tamaki
    Yamada, Syuuji
    Proceedings of the Second International Conference on Game Theory and Applications, 2007, : 183 - 185