数学物理学报 ›› 1999, Vol. 19 ›› Issue (4): 456-460.

• 论文 • 上一篇    下一篇

概率赋范空间上的一些不动点定理的进一步分析

  

  1. (中南工业大学应用数学与应用软件系 |长沙 410083)

     

  • 出版日期:1999-11-01 发布日期:1999-11-01

a futher analysisi of fixed point theorems on probabilistic normed spaces and their applications

  1. (Department of Applied Mathematics and Applied Sofware, Central South University of Technology, Changsha 410083)

  • Online:1999-11-01 Published:1999-11-01

摘要:

该文在局部有界PN空间或邻域N-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.

Abstract:

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

Key words: probabilisticcontractionmap, completeset, fixedpoint, probabilisticnormedspace.

中图分类号: 

  •  46S50