## The stability of Ky Fan’s points

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- by Kok-Keong Tan, Jian Yu and Xian-Zhi Yuan PDF
- Proc. Amer. Math. Soc.
**123**(1995), 1511-1519 Request permission

## Abstract:

In this paper, inspired by the work of Fort, the stability of the set $F(f) = \{ y \in X:{\sup _{x \in X}}f(x,y) \leq 0\}$ (respectively, the set $F(A,f) = \{ y \in A:{\sup _{x \in A}}f(x,y) \leq 0\}$ ) with*f*varying (respectively, with both

*f*and

*A*varying) is studied where

*X*is a non-empty compact convex subset of a Hausdorff topological vector space (respectively,

*X*is a Hausdorff topological space and

*A*is a non-empty compact subset of

*X*) and $f:X \times X \to \mathbb {R}$ is bounded.

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## Additional Information

- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**123**(1995), 1511-1519 - MSC: Primary 47H99; Secondary 46A55, 47H04, 47N10, 49J40
- DOI: https://doi.org/10.1090/S0002-9939-1995-1239807-8
- MathSciNet review: 1239807