集值映射g(x)+Ω(x)切锥、法锥表示及calmness充分条件

Expressions of tangent and normal cones for multifunction g(x)+Ω(x) and a sufficient condition for calmness

摘要: 给出一般集值映射M-1(·)=g(·)+Ω(·)的Clarke切锥、法锥及Bouligand切锥通过Ω(·)的相应切锥及法锥的表达式,讨论M-1的subsmooth 及L-subsmooth性.最后利用它们给出集值映射M在给定点(y,x)处是calm的一个充分条件.

Abstract: Clarke tangent cone,normal cone and Bouligand cone for Multifunction M-1(·)=g(·)+Ω(·) are obtained in forms of corresponding objects for Ω(·)and its subsmooth and L-subsmooth properties are discussed.Finally,by these results,a sufficient condition for M to be calm at(y,x) is obtained.