集值映射的图与连续

MUL TIFUNCTIONS CONTINUITY AND GRAPH

本文在 JAMES JOSERH《Multi function and Graphs》的基础上作了一些新的讨论。尤其是利用引进的新概念“ω-子闭图”讨论了单值函数的一致有界原理及“固定集”问题在集值映射上的推广,本文还讨论了θ-u.s.c 和 u.s.c 集值映射及其图的一些性质。

The results of this daper is based on JAMES E.JOSEPH'S《Mul tifunetiens and Graphs》.Specially,the new conoepts are used on the discussion of generalizations and extensions of the well-known Unifoim Boudedness principla from analysis and several “fixed set” theonems. In addtion,other properties of multifunction which is upper semi— continuous or θ—upper Semicontinuous.