Ky Fan 型包含关系及在不动点和变分包含问题中的应用

Ky Fan 型包含关系及在不动点和变分包含问题中的应用

摘要

本文证明了若干个集值映射的Ky Fan 型包含关系.根据这些结果，我们可以得到Shauder不动点定理和Kakuta s不动点定理.据此，我们也讨论了集值映射的变分包含及微分包含问题.

关键词:集值映射；上半连续；下半连续；Ky Fan 不等式；变分包含；不动点.

Ky Fan’s inclusion and application to the problem of point and variational indusion

Abstract

in this paper，we prove several set-vlued versions of Fsn’s inclusion.from these reslt，versions of schauder’s and Kakutani’s fixed point theorems can be deduced，By these，variational indusion theory an differential inclusion of set-valued maps are dicussed.

Key words:set-valued map；upper semicontimuous；lower semicontimuous；Ky Fan’s inclusion；differention Inclusion；fexed point；