非紧域上集值映象的重合点与不动点(英文)

Coincidence Points and Fixed Points for Set Valued Maps with Non compact Domains *

在赋范线性空间的非空非紧凸集上建立了集值映象对的一个重合点定理，然后用这一定理改进了文献［１］中的集值映象内向集定理与外向集定理，并得到几个集值映象不动点定理．

A coincidence point theorem for a pair of set valued maps is established on the nonempty convex subset of normed space.Using the theorem,the inward set and outward set theorem for set valued map in are improved and some fixed point theorems are given.