压缩映像偶的公共不动点定理

Common Fixed Point Theorem for the Couple of Contractor Mappings

利用拟半范族的方法 ,对具有 C-型 t-范数Δ的 T-完备的 Menger PM-空间上的压缩映像偶证明了一个公共不动点定理 ,作为应用 ,得到了一个新的压缩映像不动点定理 。

In this article, by using the method of the family of quasi semi norm, a common fixed theorem is developed for the couple of contractor mappings in T complete C type PM space. As its application, a new fixed point theorem for the contractor mappings is obtained. Finally, a new problem remain unanswered is also pointed out.