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

<p/> <p>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.</p>

Bibliographic Details
Main Authors: Zhu Xing-Hua, Xiao Jian-Zhong
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2010/723216
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author Zhu Xing-Hua
Xiao Jian-Zhong
author_facet Zhu Xing-Hua
Xiao Jian-Zhong
author_sort Zhu Xing-Hua
collection DOAJ
description <p/> <p>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.</p>
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1687-1812
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spelling doaj.art-634044fe969d47ae8246b559dd11c0da2022-12-21T21:25:47ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101723216Random Periodic Point and Fixed Point Results for Random Monotone Mappings in Ordered Polish SpacesZhu Xing-HuaXiao Jian-Zhong<p/> <p>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.</p>http://www.fixedpointtheoryandapplications.com/content/2010/723216
spellingShingle Zhu Xing-Hua
Xiao Jian-Zhong
Random Periodic Point and Fixed Point Results for Random Monotone Mappings in Ordered Polish Spaces
Fixed Point Theory and Applications
title Random Periodic Point and Fixed Point Results for Random Monotone Mappings in Ordered Polish Spaces
title_full Random Periodic Point and Fixed Point Results for Random Monotone Mappings in Ordered Polish Spaces
title_fullStr Random Periodic Point and Fixed Point Results for Random Monotone Mappings in Ordered Polish Spaces
title_full_unstemmed Random Periodic Point and Fixed Point Results for Random Monotone Mappings in Ordered Polish Spaces
title_short Random Periodic Point and Fixed Point Results for Random Monotone Mappings in Ordered Polish Spaces
title_sort random periodic point and fixed point results for random monotone mappings in ordered polish spaces
url http://www.fixedpointtheoryandapplications.com/content/2010/723216
work_keys_str_mv AT zhuxinghua randomperiodicpointandfixedpointresultsforrandommonotonemappingsinorderedpolishspaces
AT xiaojianzhong randomperiodicpointandfixedpointresultsforrandommonotonemappingsinorderedpolishspaces