Hölder Continuity of the Solution Set of the Ky Fan Inequality

被引:0
|
作者
X. B. Li
X. J. Long
J. Zeng
机构
[1] Chongqing Jiaotong University,College of Sciences
[2] Chongqing Technology and Business University,College of Mathematics and Statistics
关键词
Ky Fan Inequality; Perturbed solution set; Uniqueness; Hölder continuity; Strong convexity;
D O I
暂无
中图分类号
学科分类号
摘要
This paper is concerned with the Hölder continuity of the perturbed solution set to a convex Ky Fan Inequality. We establish some new sufficient conditions for the uniqueness and Hölder continuity of the solution set of the Ky Fan Inequality both in the given space and in its image space by perturbing the objective function and the feasible set. Our methods and results are different from the corresponding ones in the literature. Some examples are given to analyze the obtained results.
引用
收藏
页码:397 / 409
页数:12
相关论文
共 50 条
  • [31] An "error term" for the Ky Fan inequality
    Mercer, AM
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 220 (02) : 774 - 777
  • [32] GENERALIZATION OF A MATRIX INEQUALITY OF KY FAN
    MOND, B
    PECARIC, JE
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 190 (01) : 244 - 247
  • [33] A new refinement of the Ky Fan inequality
    Sándor, J
    Trif, T
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 1999, 2 (04): : 529 - 533
  • [34] On Harnack inequality and Hölder continuity for non uniformly elliptic equations
    Di Fazio, Giuseppe
    Mamedov, Farman
    RICERCHE DI MATEMATICA, 2024, : 271 - 300
  • [35] Convergence Theorems for Variational Inequalities on the Solution Set of Ky Fan Inequalities
    Anh P.N.
    Anh T.T.H.
    Kuno T.
    Acta Mathematica Vietnamica, 2017, 42 (4) : 761 - 773
  • [36] On the Lower Semicontinuity of the Solution Mappings to Parametric Weak Generalized Ky Fan Inequality
    Peng, Z. Y.
    Yang, X. M.
    Peng, J. W.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 152 (01) : 256 - 264
  • [37] Weak reverse Hölder inequality of weakly A-harmonic sensors and Hölder continuity of A-harmonic sensors
    Tingting Wang
    Gejun Bao
    Journal of Inequalities and Applications, 2011
  • [38] On the Lower Semicontinuity of the Solution Mappings to Parametric Weak Generalized Ky Fan Inequality
    Z. Y. Peng
    X. M. Yang
    J. W. Peng
    Journal of Optimization Theory and Applications, 2012, 152 : 256 - 264
  • [39] Ky Fan's inequality with binomial expansion
    Rooin, Jamal
    ELEMENTE DER MATHEMATIK, 2005, 60 (04) : 171 - 173
  • [40] Some extensions on Fan Ky's inequality
    Gao Mingzhe
    Bencze, Mihaly
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2012, 57 (03): : 317 - 323