On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities

被引：0
|
作者：
L. Q. Anh
P. Q. Khanh
T. N. Tam
机构：
[1] Cantho University,Department of Mathematics, Teacher College
[2] International University,Department of Mathematics
[3] Vietnam National University Hochiminh City,Department of Mathematics, Teacher College
[4] Federation University Australia,undefined
[5] Taydo University,undefined
来源：
TOP | 2015年 / 23卷
关键词：
Hölder continuity; Parametric Ky Fan inequalities ; Parametric dual Ky Fan inequalities; Strong convexity ; Constrained minimization; Variational inequalities; 49K40; 90C31; 91B50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider parametric primal and dual Ky Fan inequalities in metric linear spaces. Sufficient conditions for Hölder continuity of solutions are established. Many examples are provided to illustrate the essentialness of the imposed assumptions and advantages of the results over existing ones. As applications, we derive this Hölder continuity of solutions for constrained minimization and variational inequalities.
引用
收藏
页码：151 / 167
页数：16
相关论文
共 50 条
  • [1] Erratum to: On Hölder continuity of solution maps of parametric primal and dual Ky Fan inequalities
    L. Q. Anh
    P. Q. Khanh
    T. N. Tam
    [J]. TOP, 2015, 23 : 617 - 617
  • [2] On Holder continuity of solution maps of parametric primal and dual Ky Fan inequalities
    Anh, L. Q.
    Khanh, P. Q.
    Tam, T. N.
    [J]. TOP, 2015, 23 (01) : 151 - 167
  • [3] On Hölder continuity of solution maps to parametric vector Ky Fan inequalities
    Tran Ngoc Tam
    [J]. TOP, 2022, 30 : 77 - 94
  • [4] On Holder continuity of solution maps of parametric primal and dual Ky Fan inequalities (vol 23, pg 151, 2015)
    Anh, L. Q.
    Khanh, P. Q.
    Tam, T. N.
    [J]. TOP, 2015, 23 (02) : 617 - 617
  • [5] On Holder continuity of solution maps to parametric vector Ky Fan inequalities
    Tam, Tran Ngoc
    [J]. TOP, 2022, 30 (01) : 77 - 94
  • [6] Holder continuity of solution maps to parametric set-valued Ky Fan inequalities
    Tran Ngoc Tam
    [J]. OPTIMIZATION, 2024, 73 (03) : 623 - 640
  • [7] Hölder Continuity of the Solution Set of the Ky Fan Inequality
    X. B. Li
    X. J. Long
    J. Zeng
    [J]. Journal of Optimization Theory and Applications, 2013, 158 : 397 - 409
  • [8] Hölder Continuity of Solutions to Parametric Weak Generalized Ky Fan Inequality
    S. J. Li
    X. B. Li
    [J]. Journal of Optimization Theory and Applications, 2011, 149 : 540 - 553
  • [9] Continuity of solution mappings in some parametric non-weak vector Ky Fan inequalities
    Pham Huu Sach
    Nguyen Ba Minh
    [J]. Journal of Global Optimization, 2013, 57 : 1401 - 1418
  • [10] On Holder continuity of solution maps to parametric vector primal and dual equilibrium problems
    Lam Quoc Anh
    Pham Thanh Duoc
    Tran Ngoc Tam
    [J]. OPTIMIZATION, 2018, 67 (08) : 1169 - 1182
12345