College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China
Academic Editor: M. de la Sen
Copyright © 2010 Xing-Hua Zhu and Jian-Zhong Xiao. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The measurability of order continuous random mappings in ordered Polish spaces is studied.
Using order continuity, some random fixed point theorems and random periodic point theorems for increasing, decreasing, and mixed monotone random mappings are presented.