数学物理学报 ›› 2010, Vol. 30 ›› Issue (2): 494-500.

• 论文 • 上一篇    下一篇

序Banach空间中的随机不动点定理

刘易成, 李志祥   

  1. 国防科学技术大学理学院数学与系统科学系|长沙 |410073
  • 收稿日期:2008-08-09 修回日期:2009-09-21 出版日期:2010-04-25 发布日期:2010-04-25
  • 基金资助:

    国防科技大学研究生创新项目(0601)资助.

Random Fixed Point Theorems in Ordered Banach Space

 LIU Yi-Cheng, LI Zhi-Xiang   

  1. Department of |Mathematics and System Sciences, College of Science, National University of Defense Technology, Changsha 410073
  • Received:2008-08-09 Revised:2009-09-21 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国防科技大学研究生创新项目(0601)资助.

摘要:

该文获得了序Banach空间中随机序压缩映射存在不动点的充要条件. 利用随机Mann迭代序列, 给出了几个随机不动点收敛定理, 改进了最近文献的相应结果[5-6].

关键词: 随机不动点定理, 序压缩映射, 随机Mann迭代序列

Abstract:

In this paper, the authors obtain a necessary and sufficient condition for ordered contraction mapping with fixed point in ordered Banach space. Several convergent theorems for random fixed points  are given by using random Mann iteration scheme. The results generalize and improve some recent results in[5--6].

Key words: Random fixed point theorem, Ordered contraction mapping,  Random Mann iteration scheme

中图分类号: 

  • 47H10