概率赋范空间上的不动点定理及其应用

FIXED POINT THEOREMS ON PROBABILISTIC NORMED SPACE AND THEIR APPLICATIONS

本文对完备的局部有界的概率赋范空间和完备的邻域N-局部凸概率赋范空间上的压缩映象,证明其存在唯一的不动点,并给出在一类Frechet空间上的应用.

This paper studies fixed points theorems about contraction mapping on probabilistic normed space. It is proved that every contraction mapping has a unique fixed point on a complete locally bounded PN space and also on a complete neighbor N-locally convex PN space.