Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 723216, 13 pages
doi:10.1155/2010/723216
Research Article

Random Periodic Point and Fixed Point Results for Random Monotone Mappings in Ordered Polish Spaces

Xing-Hua Zhu and Jian-Zhong Xiao

College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China

Received 5 November 2010; Accepted 24 December 2010

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.

Abstract

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.