概率度量空间中若干新的不动点定理*

本文提出了Z-M-PN空间的概念,在概率度量空间中我们得到了若干新的不动点定理。同时,一些着名的不动点定理在概率度量空间中得到了推广,诸如:Schauder不动点定理、郭大钧不动点定理和Petryshyn不动点定理被推广到M-PN空间;Altman不动点定理被推广到Z-M-PN空间。

Some NeW Fixed point Theorems in Probabilistic Metric Spaces

In this paper,we introduce the concept of the Z-M-PN space,and obtain some new fixed point theorems in probabilistic metric spaces.Meanwhile,some famous fixed point theoerms are generalized in probabilistic metric spaces,such as fixed point theorem of Schauder,Guo's theorem and fixed point theorem of Petrysliyn are generalized in Menger PN-space.And fixed point theorem of Altman is also generalized in the Z-M-pN space.