廣義Peleg型KKM定理及其應用

General Peleg Type KKM Theorem with Applications

在先前的文章，我們在擬空間探討連續選擇定理。擬空間的有趣性質值得我們進一步來加以探討。在本文之中，首先，探討擬空間上Peleg型廣義KKM定理。其次，運用該廣義KKM定理建立疊合理論，並且也建立一些定點的結果。最後，我們將本結果應用於研究聯立變分不等式問題解的存在性。

In our previous work, we discuss the continuous selection theorem on pseudo space. The main object of this paper is to introduce the general Peleg KKM theorem on pseudo spaces and establish some new fixed point results. As applications, we derive some new existence results for system of variational inequalities.