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
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
  • [1] On Lexicographic Vector Equilibrium Problems
    I.V. Konnov
    Journal of Optimization Theory and Applications, 2003, 118 : 681 - 688
  • [2] GENERALIZED HADAMARD WELLPOSED FOR LEXICOGRAPHIC VECTOR EQUILIBRIUM PROBLEMS
    Bantaojai, Thanatporn
    Lam Quoc Anh
    Pham Thi Vui
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (01): : 488 - 500
  • [3] Upper Semicontinuity of Parametric Lexicographic Vector Equilibrium Problems
    Fang, Zhi-miao
    Li, Sheng-jie
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 34 (04): : 856 - 862
  • [4] Upper Semicontinuity of Parametric Lexicographic Vector Equilibrium Problems
    Zhi-miao FANG
    Sheng-jie LI
    Acta Mathematicae Applicatae Sinica, 2018, 34 (04) : 856 - 862
  • [5] Well-posedness for lexicographic vector quasiequilibrium problems with lexicographic equilibrium constraints
    Rabian Wangkeeree
    Thanatporn Bantaojai
    Panu Yimmuang
    Journal of Inequalities and Applications, 2015
  • [6] Upper Semicontinuity of Parametric Lexicographic Vector Equilibrium Problems
    Zhi-miao Fang
    Sheng-jie Li
    Acta Mathematicae Applicatae Sinica, English Series, 2018, 34 : 856 - 862
  • [7] Well-posedness for lexicographic vector quasiequilibrium problems with lexicographic equilibrium constraints
    Wangkeeree, Rabian
    Bantaojai, Thanatporn
    Yimmuang, Panu
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [8] Lexicographic and sequential equilibrium problems
    M. Bianchi
    I. V. Konnov
    R. Pini
    Journal of Global Optimization, 2010, 46 : 551 - 560
  • [9] Lexicographic and sequential equilibrium problems
    Bianchi, M.
    Konnov, I. V.
    Pini, R.
    JOURNAL OF GLOBAL OPTIMIZATION, 2010, 46 (04) : 551 - 560
  • [10] Levitin-Polyak well-posedness for lexicographic vector equilibrium problems
    Wangkeeree, Rabian
    Bantaojai, Thanatporn
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (02): : 354 - 367