Some further results on the stability of Ky Fan’s points

Journal of inequalities and applications

Shuwen Xiang¹ 

关键词: Ky Fan’s points;    section mappings;    maximum Hausdorff semi-metric;    essential component;    Nash equilibrium;    26B25;    47H10;    54A05;    54H25;    91A10;    91A40;    91A44;   

DOI  :  10.1186/s13660-017-1562-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, some further results on the stability of Ky Fan’s points are proposed by introducing a type of stronger perturbation of section mappings defined by a semi-metric called the maximum Hausdorff semi-metric, and the existence of the essential components of the set of Ky Fan’s points to this perturbation is proved. As an application, the existence of the essential component of the Nash equilibrium is presented using the proposed method, and strong robustness to payoff function perturbation is achieved.

【 授权许可】

CC BY