Behavior of solution set for bilevel generalized mixed equilibrium problems in topological vector spaces

被引：0
|
作者：
Xie-ping Ding
机构：
[1] Sichuan Normal University,College of Mathematics and Software Science
来源：
Applied Mathematics and Mechanics | 2014年 / 35卷
关键词：
generalized mixed equilibrium problem (GMEP); bilevel generalized mixed equilibrium problem (BGMEP); monotonicity; minimax inequality; topological vector space; O177.91; O224; 49J53; 49J40; 91B50; 90C48; 91B50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new bilevel generalized mixed equilibrium problem (BGMEP) is introduced and studied in topological vector spaces. By using a minimax inequality, the existence of solutions and the behavior of solution set for the BGMEP are studied under quite mild conditions. These results are new and generalize some recent results in this field.
引用
收藏
页码：925 / 934
页数：9
相关论文
共 50 条
  • [31] Stability of solution mappings for parametric bilevel vector equilibrium problems
    Lam Quoc Anh
    Nguyen Van Hung
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (02): : 1537 - 1549
  • [32] Stability of solution mappings for parametric bilevel vector equilibrium problems
    Lam Quoc Anh
    Nguyen Van Hung
    Computational and Applied Mathematics, 2018, 37 : 1537 - 1549
  • [33] ON GENERALIZED VECTOR EQUILIBRIUM-LIKE PROBLEM IN TOPOLOGICAL VECTOR SPACES
    Ceng, L. -C.
    Liou, Y. -C.
    Pang, C. -T.
    Wen, C. -F.
    MISKOLC MATHEMATICAL NOTES, 2017, 18 (02) : 665 - 683
  • [34] Equilibrium problems and variational inequalities in topological vector spaces
    Farajzadeh, A. P.
    Zafarani, J.
    OPTIMIZATION, 2010, 59 (04) : 485 - 499
  • [35] VECTOR EQUILIBRIUM PROBLEMS FOR MULTIFUNCTIONS IN TOPOLOGICAL SEMILATTICE SPACES
    Nguyen The Vinh
    Pham Thi Hoai
    FIXED POINT THEORY, 2017, 18 (02): : 741 - 753
  • [36] OPTIMALITY CONDITIONS FOR GENERALIZED VECTOR EQUILIBRIUM PROBLEMS IN VECTOR SPACES
    Ranjbar, Sahar
    Farajzadeh, Ali
    Yao, Jen-Chih
    Zhang, Tao
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (01) : 133 - 147
  • [37] Bilevel optimization problems in topological spaces
    Ding, XP
    Liou, YC
    TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (01): : 173 - 179
  • [38] BILEVEL MIXED EQUILIBRIUM PROBLEMS IN BANACH SPACES : EXISTENCE AND ALGORITHMIC ASPECTS
    Chadli, Ouayl
    Mahdioui, Hicham
    Yao, Jen-Chih
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2011, 1 (03): : 549 - 561
  • [39] Mixed quasi complementarity problems in topological vector spaces
    Farajzadeh, Ali P.
    Noor, Muhammad Aslam
    Zainab, Saira
    JOURNAL OF GLOBAL OPTIMIZATION, 2009, 45 (02) : 229 - 235
  • [40] Mixed quasi complementarity problems in topological vector spaces
    Ali P. Farajzadeh
    Muhammad Aslam Noor
    Saira Zainab
    Journal of Global Optimization, 2009, 45
12345