A note on stability for parametric equilibrium problems

被引:67
|
作者
Bianchi, M
Pini, R
机构
[1] Univ Cattolica Sacro Cuore, Ist Econometria & Matemat Applicaz Econ Finanziar, I-20123 Milan, Italy
[2] Univ Milano Bicocca, Dipartimento Metodi Quantitat Econ, I-20126 Milan, Italy
关键词
parametric equilibrium problems; regularity of the solution map;
D O I
10.1016/S0167-6377(03)00051-8
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
In this paper we consider equilibrium problems in vector metric spaces where the function f and the set K are perturbed by the parameters epsilon, eta. We study the stability of the solutions, providing some results in the peculiar framework of generalized monotone functions, first in the particular case where K is fixed, then under both data perturbation. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:445 / 450
页数:6
相关论文
共 50 条
  • [1] Stability for parametric implicit vector equilibrium problems
    Huang, Nan Jing
    Li, Jun
    Thompson, H. B.
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2006, 43 (11-12) : 1267 - 1274
  • [2] A note on the lower semicontinuity of efficient solutions for parametric vector equilibrium problems
    Zhang, W. Y.
    Fang, Z. M.
    Zhang, Y.
    [J]. APPLIED MATHEMATICS LETTERS, 2013, 26 (04) : 469 - 472
  • [3] A note on solution lower semicontinuity for parametric generalized vector equilibrium problems
    Peng, Zai Yun
    Lin, Zhi
    Yu, Kai Zhi
    Wang, Da Cheng
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [4] A note on solution lower semicontinuity for parametric generalized vector equilibrium problems
    Zai Yun Peng
    Zhi Lin
    Kai Zhi Yu
    Da Cheng Wang
    [J]. Journal of Inequalities and Applications, 2014
  • [5] Stability of solution mappings for parametric bilevel vector equilibrium problems
    Lam Quoc Anh
    Nguyen Van Hung
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (02): : 1537 - 1549
  • [6] Stability of solution mappings for parametric bilevel vector equilibrium problems
    Lam Quoc Anh
    Nguyen Van Hung
    [J]. Computational and Applied Mathematics, 2018, 37 : 1537 - 1549
  • [7] STABILITY OF SOLUTION MAPPING FOR PARAMETRIC SYMMETRIC VECTOR EQUILIBRIUM PROBLEMS
    Li, Xiao-Bing
    Long, Xian-Jun
    Lin, Zhi
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2015, 11 (02) : 661 - 671
  • [8] ON PARAMETRIC EQUILIBRIUM PROBLEMS
    Bogdan, Marcel
    Kolumban, Jozsef
    [J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2013, 42 (02) : 405 - 416
  • [9] NOTE ON PARAMETRIC STABILITY
    POSTLETHWAITE, I
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1979, 29 (02) : 261 - 266
  • [10] A dynamical approach for the quantitative stability of parametric bilevel equilibrium problems and applications
    Mansour, Mohamed Ait
    Mazgouri, Zakaria
    Riahi, Hassan
    [J]. OPTIMIZATION, 2022, 71 (05) : 1389 - 1408