Connectedness of super efficient sets in vector optimization of set-valued maps

被引:0
|
作者
Zhong-Fei Li
Shou-Yang Wang
机构
[1] Institute of Systems Science,
[2] Chinese Academy of Sciences,undefined
[3] Beijing 100080,undefined
[4] China (e-mail: zfli@iss02.iss.ac.cn; sywang@iss02.iss.ac.cn),undefined
关键词
Key words: Super efficient sets; vector optimization; set-valued maps; cone-convexlikeness; connectedness;
D O I
10.1007/PL00020915
中图分类号
学科分类号
摘要
This paper deals with the super efficient sets in vector optimization of set-valued maps. It is proved that these sets are connected under an assumption of cone-convexlikeness and upper semicontinuity.
引用
收藏
页码:207 / 217
页数:10
相关论文
共 50 条
  • [1] Connectedness of super efficient sets in vector optimization of set-valued maps
    Li, ZF
    Wang, SY
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 1998, 48 (02) : 207 - 217
  • [2] Super efficiency in vector optimization of set-valued maps
    李仲飞
    汪寿阳
    LUIS Coladas
    Progress in Natural Science, 1998, (06) : 21 - 32
  • [3] Super efficiency in vector optimization of set-valued maps
    Li, ZF
    Wang, SY
    Luis, C
    PROGRESS IN NATURAL SCIENCE, 1998, 8 (06) : 660 - 671
  • [4] CONNECTEDNESS OF EFFICIENT SOLUTION SETS FOR SET-VALUED MAPS IN NORMED SPACES
    GONG, XH
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 83 (01) : 83 - 96
  • [5] Super efficiency in vector optimization with nearly convexlike set-valued maps
    Mehra, A
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 276 (02) : 815 - 832
  • [6] Super efficient solutions for set-valued maps
    Oveisiha, M.
    Zafarani, J.
    OPTIMIZATION, 2013, 62 (06) : 817 - 834
  • [7] CONNECTEDNESS OF THE GLOBAL EFFICIENT AND THE HENIG EFFICIENT SOLUTION SETS FOR THE SET-VALUED VECTOR EQUILIBRIUM PROBLEMS
    Gong, Xun-Hua
    Chen, Bin
    Yue, Hua-Ming
    PACIFIC JOURNAL OF OPTIMIZATION, 2009, 5 (03): : 373 - 386
  • [8] Conic Set-Valued Maps in Vector Optimization
    Pedro Jiménez Guerra
    Miguel Angel Melguizo
    María J. Muñoz-Bouzo
    Set-Valued Analysis, 2007, 15 : 47 - 59
  • [9] Conic set-valued maps in vector optimization
    Jimenez Guerra, Pedro
    Angel Melguizo, Miguel
    Munoz-Bouzo, Maria J.
    SET-VALUED ANALYSIS, 2007, 15 (01): : 47 - 59
  • [10] ε-strictly efficient solutions of vector optimization problems with set-valued maps
    Li, Taiyong
    Xu, Yihong
    Zhu, Chuanxi
    ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH, 2007, 24 (06) : 841 - 854