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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;