擬空間的連續選擇定理及其應用

Continuous Selection Theorems on Pseudo Spaces with Applications

在本文中，我們首先建立擬空間的上半連續選擇定理。作為本定理的應用，我們也運用集合值映射具較廣義的凸集條件及較簡捷的方法，獲得一些定點定理、疊合理論及集體的定點定理的結果。

In this paper, we first establish some upper semi-continuous selection theorems on pseudo spaces. As applications of our results, some fixed point theorems, coincidence theorems and collective fixed point theorems are established with much generalized convexity conditions on set-valued mappings with much simpler methods.