Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 494-500.

• Articles • Previous Articles     Next Articles

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.

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

CLC Number: 

  • 47H10
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