有限维空间中集值映射及其导数的连续选择

Continuous selections of set-valued maps in finite dimensional vector spaces and its derivatives

摘要: 以Michael选择定理为基础,证明了有限维空间中集值映射及其相邻导数存在连续选择的充分条件,并指出在此条件下,可得到相应的连续选择,使2个连续选择之间也具有相同的导数关系.

Abstract: It was discussed that the existence of continuous selections of set-valued mappings and its derivatives in finite dimensional normed vector spaces.A sufficient conditions is obtained for the existence of their continuous selections.