臺灣博碩士論文加值系統

在本篇論文中，我們利用超凸度量空間的性質證明了可允許集的交集性質。利用這個性質，我們證得一個推廣型 定理、一個匹配定理及一個同值點定理。在應用方面，我們利用這個推廣型 定理，證明一些變分不等式及大中取小不等式的存在性定理。

In this paper, we use the property of hyperconvex metric space to establish an intersection property about a family of admissible sets. Applying this intersection property we get a generalized theorem, a matching theorem and a coincidence theorem. As the application, we use this generalized theorem to establish some existence theorems about variational inequalities and minimax inequalities.

1. INTRODUCTION----------------------------------------5
2. PRELIMINARIES---------------------------------------6
3. MAIN RESULTS----------------------------------------9
4. APPLICATIONS---------------------------------------14
5.REFERENCES------------------------------------------18

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