Existence conditions for symmetric generalized quasi-variational inclusion problems

被引：5
作者：
Nguyen Van Hung [1 ]
机构：
[1] Dong Thap Univ, Dept Math, Ward 6, Cao Lanh City, Vietnam
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
关键词：
symmetric generalized quasi-variational inclusion problem; symmetric weak quasi-equilibrium problem; symmetric strong quasi-equilibrium problem; Kakutani-Fan-Glicksberg fixed-point theorem; existence; closedness; WEAK EFFICIENT SOLUTIONS; EQUILIBRIUM PROBLEMS; STABILITY; SYSTEM; CONNECTEDNESS; SETS;
D O I：
10.1186/1029-242X-2013-40
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish an existence theorem by using the Kakutani-Fan-Glicksberg fixed-point theorem for a symmetric generalized quasi-variational inclusion problem in real locally convex Hausdorff topological vector spaces. Moreover, the closedness of the solution set for this problem is obtained. As special cases, we also derive the existence results for symmetric weak and strong quasi-equilibrium problems. The results presented in the paper improve and extend the main results in the literature.
引用
收藏
页数：12
相关论文
共 29 条
  • [1] On the stability of the solution sets of general multivalued vector quasiequilibrium problems
    Anh, L. Q.
    Khanh, P. Q.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2007, 135 (02) : 271 - 284
  • [2] Anh LQ, 2007, CONTROL CYBERN, V36, P519
  • [3] [Anonymous], 1975, GEOMETRIC FUNCTIONAL
  • [4] The system of generalized vector equilibrium problems with applications
    Ansari, QH
    Schaible, S
    Yao, JC
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2002, 22 (1-4) : 3 - 16
  • [5] On generalized vector equilibrium problems
    Ansari, QH
    Konnov, IV
    Yao, JC
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (01) : 543 - 554
  • [6] A generalization of vectorial equilibria
    Ansari, QH
    Oettli, W
    Schlager, D
    [J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 1997, 46 (02) : 147 - 152
  • [7] Generalized Variational Relation Problems with Applications
    Balaj, M.
    Lin, L. J.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 148 (01) : 1 - 13
  • [8] Berge C., 1963, Topological Spaces, Including a Treatment of Multi -Valued Functions Vector Spaces and Convexity
  • [9] Blum E., 1994, Math. Stud., V63, P127
  • [10] Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces
    Chen, Bin
    Huang, Nan-jing
    Cho, Yeol Je
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011, : 1 - 13
123