关于取值于局部凸空间中集值映射的积分

ON THE INTEGRALS OF SET-VALUED MAPPING IN LOCALLY CONVEX SACES

本文引进了一类集值映射的积分，研究了这种积分的若干性质．在此基础上，讨论了这种积分与抽象函数的Riemann积分、Bochner积分和Petits积分的关系．

in this paper, we introduce a kind of integrals of set-valued mapping andinvestigate their properties. We also discuss the relations between this kind of integrals andRiemann integral,Bochner integral, and Pettis integral of abstract functions.