Continuous Selection Theorems on Pseudo Spaces with Applications

擬空間的連續選擇定理及其應用

林炎成(Yen-Cherng Lin)

《通識教育學報》 7期 (2005/06) Pp. 127-143

https://doi.org/10.7107/JGED.200506.0127

摘要

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。

關鍵字

擬空間 ； 擬凸集合 ； 相對擬凸集合 ； 上半連續選擇定理 ； 疊合理論

並列摘要

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.

並列關鍵字

Pseudo spaces ； Pseudo convex sets ； Relative pseudo convex sets ； Upper semi-continuous selections theorems ； Coincidence theorems

參考文獻

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