Semicontinuity of Solution Mappings to Parametric Generalized Vector Equilibrium Problems

被引：5
|
作者：
Han, Yu [1 ]
Gong, Xunhua [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang, Peoples R China
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2016年 / 37卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Hausdorff upper semicontinuity; lower semicontinuity; parametric generalized vector equilibrium problem; scalarization; solution mapping; 49K40; 90C31; SOLUTION SETS; VARIATIONAL INEQUALITY; EFFICIENT SOLUTIONS; CONTINUITY; EXISTENCE; STABILITY; CONNECTEDNESS; SYSTEMS;
D O I：
10.1080/01630563.2016.1216446
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, stability results concerning the lower semicontinuity and the Hausdorff upper semicontinuity of the solution mappings to parametric generalized vector equilibrium problems with neither the monotonicity of mappings nor any information of the solution mappings are established by using scalarization methods and a new density result.
引用
收藏
页码：1420 / 1437
页数：18
相关论文
共 50 条
  • [1] Semicontinuity of solution mappings of parametric generalized vector equilibrium problems
    Kimura, K.
    Yao, J. C.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2008, 138 (03) : 429 - 443
  • [2] Semicontinuity of Solution Mappings of Parametric Generalized Vector Equilibrium Problems
    K. Kimura
    J. C. Yao
    [J]. Journal of Optimization Theory and Applications, 2008, 138 : 429 - 443
  • [3] Semicontinuity of solution mappings for a class of parametric generalized vector equilibrium problems
    Lu, Jue
    Han, Yu
    Huang, Nan-Jing
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (09): : 5449 - 5462
  • [4] Semicontinuity of solution mappings of parametric generalized strong vector equilibrium problems
    Kimura, Kenji
    Yao, Jen-Chih
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2008, 4 (01) : 167 - 181
  • [5] Semicontinuity of approximate solution mappings for parametric generalized weak vector equilibrium problems
    Wang, Qilin
    Li, Xiaobing
    Zeng, Jing
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2678 - 2688
  • [6] Lower semicontinuity of approximate solution mappings for parametric generalized vector equilibrium problems
    Wangkeeree, Rabian
    Boonman, Panatda
    Preechasilp, Pakkapon
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [7] Lower semicontinuity of approximate solution mappings for parametric generalized vector equilibrium problems
    Rabian Wangkeeree
    Panatda Boonman
    Pakkapon Preechasilp
    [J]. Journal of Inequalities and Applications, 2014
  • [8] Solution semicontinuity of parametric generalized vector equilibrium problems
    Chen, C. R.
    Li, S. J.
    Teo, K. L.
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2009, 45 (02) : 309 - 318
  • [9] Solution semicontinuity of parametric generalized vector equilibrium problems
    C. R. Chen
    S. J. Li
    K. L. Teo
    [J]. Journal of Global Optimization, 2009, 45 : 309 - 318
  • [10] SEMICONTINUITY OF APPROXIMATE SOLUTION MAPPINGS TO GENERALIZED VECTOR EQUILIBRIUM PROBLEMS
    Wang, Qilin
    Li, Shengji
    [J]. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2016, 12 (04) : 1303 - 1309
12345