On lexicographic vector equilibrium problems

被引：18
|
作者：
Konnov, IV [1 ]
机构：
[1] Kazan VI Lenin State Univ, Dept Appl Math, Kazan 420008, Russia
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2003年 / 118卷 / 03期
基金：
芬兰科学院;
关键词：
vector equilibrium problems; lexicographic order; inverse optimization problems;
D O I：
10.1023/B:JOTA.0000004877.39408.80
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider vector equilibrium problems using the lexicographic order. We show that several classes of inverse lexicographic optimization problems can be reduced to lexicographic vector equilibrium problems. Some approaches to solve such problems are also suggested.
引用
收藏
页码：681 / 688
页数：8
相关论文
共 50 条
  • [41] Levitin–Polyak well-posedness for equilibrium problems with the lexicographic order
    L. Q. Anh
    T. Q. Duy
    P. Q. Khanh
    Positivity, 2021, 25 : 1323 - 1349
  • [42] Implicit vector equilibrium problems with applications
    Huang, NJ
    Li, J
    Thompson, HB
    MATHEMATICAL AND COMPUTER MODELLING, 2003, 37 (12-13) : 1343 - 1356
  • [43] The (S)+-condition for vector equilibrium problems
    Chiang, Y
    TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (01): : 31 - 43
  • [44] Optimality conditions for vector equilibrium problems
    Gong, Xun-Hua
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (02) : 1455 - 1466
  • [45] Generalized Vector Equilibrium Problems with Trifunctions
    Y. Chiang
    O. Chadli
    J. C. Yao
    Journal of Global Optimization, 2004, 30 : 135 - 154
  • [46] On vector quasi-equilibrium problems
    Ansari, QH
    Yao, JC
    EQUILIBRIUM PROBLEMS AND VARIATIONAL MODELS, 2003, 68 : 1 - 18
  • [47] Topological pseudomonotonicity and vector equilibrium problems
    Chadli, O
    Chiang, Y
    Huang, S
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (02) : 435 - 450
  • [48] Characterizations of solutions for vector equilibrium problems
    Ansari, QH
    Konnov, IV
    Yao, JC
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 113 (03) : 435 - 447
  • [49] A variational principle for vector equilibrium problems
    K. R. Kazmi
    Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2001, 111 : 465 - 470
  • [50] A variational principle for vector equilibrium problems
    Kazmi, KR
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2001, 111 (04): : 465 - 470
12345