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研究生： 劉秉仁
論文名稱： 弱KKM定理及應用
指導教授： 張東輝
口試委員:
學位類別： 碩士
Master
系所名稱：
論文出版年： 2005
畢業學年度： 94
中文關鍵詞： 弱KKM函數族 、弱KKM定理 、變分不等式
外文關鍵詞： weakly-KKM(X,Y), weakly-KKM theorem, variational inequality
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    • 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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