臺灣博碩士論文加值系統

在這篇論文裡，我們首先證明多值映射或向量值函數的推廣向量鞍點存在定理，然後導出推廣向量極大極小值定理的存在定理。我們也可以建立向量值函數的推廣向量quasi- variational-like不等式問題的存在定理及推廣向量鞍點問題和推廣向量quasi- variational- like不等式問題；兩者間解的關係，由此我們又建立出另一個向量鞍點問題的存在定理。

In this paper, we first prove some existence theorems of generalized vector saddle point for multivalued map or vector valued function. As a consequence, we establish the existence theoremsof generalized vector minimax theorem. We also establish the existencetheorem of generalized vector quasi-variational-like inequality problem for vector valued function and the relationship between the solutions of the generalized vector saddle point problem and the generalized vectorquasi-variational-like inequality problem for vector valued functions.From which we establish another existence theorem of generalized vector saddle point problems.

1.Abstract and Introduction ………………… 1
2.Preliminaries ……………………………… 4
3.Generalized vector saddle point……………… 10
4.Generalized vector minimax theorems ……… 17
5.Generalized vector saddle point problem and
generalized vector quasi-variational-like
inequality problem …………………… 23
References …………………………………… 33

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