Characterizations of super efficiency in cone-convexlike vector optimization with set-valued maps

被引：0
|
作者：
Wei Dong Rong
Yu Nan Wu
机构：
[1] Department of Mathematics,
[2] University of Inner Mongolia,undefined
[3] Hohhot,undefined
[4] 010021,undefined
[5] Inner Mongolia,undefined
[6] P. R. China,undefined
来源：
Mathematical Methods of Operations Research | 1998年 / 48卷
关键词：
Key words: Set-valued map; vector optimization; cone-convexlikeness; super efficiency; Lagrange multipliers; super duality.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we extend the concept of cone-convexlikeness of single-valued maps to set-valued maps and study super efficiency in cone-convexlike vector optimization with set-valued maps. Under the assumption of the cone-convexlikeness, some characterizations of super efficiency are established in terms of the scalarization, Lagrange multipliers and super duality, respectively.
引用
收藏
页码：247 / 258
页数：11
相关论文
共 50 条
  • [31] STRICT EFFICIENCY IN SET-VALUED OPTIMIZATION
    Flores-Bazan, Fabian
    Jimenez, Bienvenido
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (02) : 881 - 908
  • [32] 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
  • [33] 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
  • [34] 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,
  • [35] 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
  • [36] Strong Duality with Proper Efficiency in Multiobjective Optimization Involving Nonconvex Set-Valued Maps
    Pham Huu Sach
    Le Anh Tuan
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2009, 30 (3-4) : 371 - 392
  • [37] E-SUPER EFFICIENCY OF SET-VALUED OPTIMIZATION PROBLEMS INVOLVING IMPROVEMENT SETS
    Zhou, Zhiang
    Yang, Xinmin
    Zhao, Kequan
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2016, 12 (03) : 1031 - 1039
  • [38] On Subdifferentials of Set-Valued Maps
    J. Baier
    J. Jahn
    Journal of Optimization Theory and Applications, 1999, 100 : 233 - 240
  • [39] 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
  • [40] On subdifferentials of set-valued maps
    Baier, J
    Jahn, J
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 100 (01) : 233 - 240
12345