Random Fixed Point Theorems of Random Comparable Operators and an Application
We introduce the new concept of random comparable operators as a generalization of random monotone operators and prove several random fixed point theorems for such a class of operators in partially ordered Banach spaces. Part of the presented results generalize and extend some known results of rando...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/426568 |
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| _version_ | 1832556476680372224 |
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| author | Jiandong Yin Zhongdong Liu |
| author_facet | Jiandong Yin Zhongdong Liu |
| author_sort | Jiandong Yin |
| collection | DOAJ |
| description | We introduce the new concept of random comparable operators as a generalization of random monotone operators and prove several random fixed point theorems for such a class of operators in partially ordered Banach spaces. Part of the presented results generalize and extend some known results of random monotone operators. Finally, as an application, we consider the existence of the solution of a random Hammerstein integral equation. |
| format | Article |
| id | doaj-art-7d72690886e54ba49e9335d57f9670e0 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-7d72690886e54ba49e9335d57f9670e02025-02-03T05:45:14ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/426568426568Random Fixed Point Theorems of Random Comparable Operators and an ApplicationJiandong Yin0Zhongdong Liu1Department of Mathematics, Nanchang University, Nanchang 330031, ChinaSchool of Mathematics and Physics, Jinggangshan University, Ji’an 343009, ChinaWe introduce the new concept of random comparable operators as a generalization of random monotone operators and prove several random fixed point theorems for such a class of operators in partially ordered Banach spaces. Part of the presented results generalize and extend some known results of random monotone operators. Finally, as an application, we consider the existence of the solution of a random Hammerstein integral equation.http://dx.doi.org/10.1155/2015/426568 |
| spellingShingle | Jiandong Yin Zhongdong Liu Random Fixed Point Theorems of Random Comparable Operators and an Application Discrete Dynamics in Nature and Society |
| title | Random Fixed Point Theorems of Random Comparable Operators and an Application |
| title_full | Random Fixed Point Theorems of Random Comparable Operators and an Application |
| title_fullStr | Random Fixed Point Theorems of Random Comparable Operators and an Application |
| title_full_unstemmed | Random Fixed Point Theorems of Random Comparable Operators and an Application |
| title_short | Random Fixed Point Theorems of Random Comparable Operators and an Application |
| title_sort | random fixed point theorems of random comparable operators and an application |
| url | http://dx.doi.org/10.1155/2015/426568 |
| work_keys_str_mv | AT jiandongyin randomfixedpointtheoremsofrandomcomparableoperatorsandanapplication AT zhongdongliu randomfixedpointtheoremsofrandomcomparableoperatorsandanapplication |