Holder continuity of solution maps to parametric set-valued Ky Fan inequalities

被引：0
|
作者：
Tran Ngoc Tam [1 ]
机构：
[1] Can Tho Univ, Dept Math, Coll Nat Sci, Can Tho City, Vietnam
来源：
OPTIMIZATION | 2024年 / 73卷 / 03期
关键词：
Ky Fan inequality; Holder continuity; strong quasiconvexity; strong quasiconvex-likeness; set-valued Nash equilibrium; APPROXIMATE SOLUTION MAPPINGS; QUASI-EQUILIBRIUM PROBLEMS; VARIATIONAL-INEQUALITIES; LIPSCHITZ CONTINUITY; SEMICONTINUITY;
D O I：
10.1080/02331934.2022.2122716
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We first introduce notions of strong t-quasiconvexity and strong t-quasiconvex-likeness along with relaxed Holder continuity with respect to an ordering cone of a set-valued map. Then, these new conditions are utilized to establish sufficient conditions for the non-emptiness of solution sets and the stability in the sense of Holder continuity of solution maps to parametric set-valued Ky Fan inequalities. Our approach is different from the existing ones. At the end of the paper, we present an application of the main results to set-valued Nash equilibrium in games.
引用
收藏
页码：623 / 640
页数：18
相关论文
共 50 条
  • [1] Continuity of the Solution Maps for Generalized Parametric Set-Valued Ky Fan Inequality Problems
    Peng, Z. Y.
    Li, X. B.
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [2] On Holder continuity of solution maps to parametric vector Ky Fan inequalities
    Tam, Tran Ngoc
    [J]. TOP, 2022, 30 (01) : 77 - 94
  • [3] 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
  • [4] Ky Fan minimax inequalities for set-valued mappings
    Yu Zhang
    Sheng-Jie Li
    [J]. Fixed Point Theory and Applications, 2012
  • [5] Ky Fan minimax inequalities for set-valued mappings
    Zhang, Yu
    Li, Sheng-Jie
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [6] Holder Continuity of the Solution Set of the Ky Fan Inequality
    Li, X. B.
    Long, X. J.
    Zeng, J.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 158 (02) : 397 - 409
  • [7] On Hölder continuity of solution maps to parametric vector Ky Fan inequalities
    Tran Ngoc Tam
    [J]. TOP, 2022, 30 : 77 - 94
  • [8] 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
  • [9] GENERALIZED KY FAN MINIMAX INEQUALITIES FOR SET-VALUED MAPPINGS
    Zhang, Y.
    Li, S. J.
    [J]. FIXED POINT THEORY, 2014, 15 (02): : 609 - 622
  • [10] 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 : 151 - 167
12345