Vector variational-like inequalities and vector optimization problems in Asplund spaces

被引：0
|
作者：
Bin Chen
Nan-Jing Huang
机构：
[1] Sichuan University,Department of Mathematics
来源：
Optimization Letters | 2012年 / 6卷
关键词：
Mordukhovich limiting subdifferential; Vector variational-like inequality; Vector optimization problem; Asplund space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak formulations of these two inequalities defined by means of Mordukhovich limiting subdifferentials are introduced and studied in Asplund spaces. Some relations between the vector variational-like inequalities and vector optimization problems are established by using the properties of Mordukhovich limiting subdifferentials. An existence theorem of solutions for the weak Minty vector variational-like inequality is also given.
引用
收藏
页码：1513 / 1525
页数：12
相关论文
共 50 条
  • [21] RELATIONS BETWEEN GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES AND VECTOR OPTIMIZATION PROBLEMS
    Al-Homidan, Suliman
    Ansari, Qamrul Hasan
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (03): : 987 - 998
  • [22] Vector variational-like inequalities and non-smooth vector optimization problems
    Mishra, SK
    Wang, SY
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (09) : 1939 - 1945
  • [23] Exponential type vector variational-like inequalities and nonsmooth vector optimization problems
    Jayswal A.
    Choudhury S.
    [J]. J. Appl. Math. Comp., 1-2 (127-143): : 127 - 143
  • [24] On set-valued optimization problems and vector variational-like inequalities
    Miholca, Mihaela
    [J]. OPTIMIZATION LETTERS, 2014, 8 (02) : 463 - 476
  • [25] On vector variational-like inequalities
    Siddiqi, AH
    Ansari, QH
    Ahmad, R
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1997, 28 (08): : 1009 - 1016
  • [26] On vector variational-like inequalities and set-valued optimization problems
    J. Zeng
    S. J. Li
    [J]. Optimization Letters, 2011, 5 : 55 - 69
  • [27] On set-valued optimization problems and vector variational-like inequalities
    Mihaela Miholca
    [J]. Optimization Letters, 2014, 8 : 463 - 476
  • [28] On vector variational-like inequalities and set-valued optimization problems
    Zeng, J.
    Li, S. J.
    [J]. OPTIMIZATION LETTERS, 2011, 5 (01) : 55 - 69
  • [29] Multitime multiobjective variational problems and vector variational-like inequalities
    Jayswal, Anurag
    Singh, Shipra
    Kurdi, Alia
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2016, 254 (03) : 739 - 745
  • [30] Exponential type vector variational-like inequalities and vector optimization problems with exponential type invexities
    Jayswal A.
    Choudhury S.
    Verma R.U.
    [J]. Journal of Applied Mathematics and Computing, 2014, 45 (1-2) : 87 - 97
12345