本論文利用推廣型凸空間的函數族G-S-KKM(X,Y,Z)及 -S-KKM(X,Y,Z)的特性，推導出一些同值定理、固定點定理及匹配定理。本文的結果推廣了許多學者的一些相關研究結果（如：[1], [3], [6], [9], [12], [17], [22]）。

In this paper, we shall use the properties of G-S-KKM mapping and -S-KKM mapping to get some coincidence theorems, fixed point theorems, and matching theorems. These results generalize many results of other authors (for example, see
[1], [3], [6], [9], [12], [17], [22]).

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