概率赋范空间上的一些不动点定理的进一步分析

A Further Analysis of Fixed Point Theorems on Probabilistic Normed Spaces and Their Applications

该文在局部有界ＰＮ空间或邻域卜局部凸ＰＮ空间上，证明了非空完备子集上的概率压缩映象必有唯一不动点；并在度量线性空间中给出了关于伪范族一致压缩映象的不动点定理．

This paper proves that every probabilistic contraction map from complete set Cto C has a unique fixed point, where C is a subset of a locally bounded probability normedspace or a locally N-convex probabilisic normed space, and gives some applications in metric linear spaces.