臺灣博碩士論文加值系統

在這篇論文中，我們將KKM函數族推廣到弱KKM函數族，探討弱KKM函數族的其性質並且得到一些弱KKM定理。利用這些弱KKM定理，我們證明一些變分不等式的存在性定理。本文的結果推廣了 Chang and Yen [4]的部分研究結果。

In this paper, we extend the concept of KKM (X,Y) to weakly-KKM (X,Y). We study the properties of weakly-KKM (X,Y) and get some weakly-KKM theorems. As application, we use these weakly-KKM theorems to establish the existence theorems concerning variational inequalities, which generalize some results of [4].

1. INTRODUCTION-------------------------------------------5
2. PRELIMINARIES------------------------------------------6
3. MAIN RESULTS-------------------------------------------9
4. REFERENCES--------------------------------------------17

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