含有推广的P-距离的不动点定理

Fixed Pointed Theorems with a Generalized P-distance

在距离空间中,给出推广的P-距离和p-完备的概念.由此建立了压缩型和扩张型两类不动点定理,其中压缩条件或扩张条件中均含有推广的P-距离.我们的结果不仅推广了现有一些结果,而且还包含了不动点的唯一性.

In this paper, we first introduce the concepts of generalized P-distance and p- completeness in metric spaces. And we establish two versions of fixed point theorems, where the contraction or expanding conditions contain the generalized P-distance. Our results generalize some known results and include the uniqueness of the fixed point.