交集理論在非線性分析中，被廣泛討論及運用著。本篇文章裡，我們將在G-凸空間裡討論新S-KKM映射的交集理論。我們也討論了樊璣型的配對理論，並討論集合值映射之定點的存在性作為它的應用。
In this paper, we shall discuss the intersection theorems on G-convex space for new S-KKM maps. We also establish the Ky Fan type matching theorems. As applications, we discuss the existence results of fixed points for such maps.
