A class of geometric quadratic stochastic operator on countable state space and its regularity
We have constructed a Geometric quadratic stochastic operator generated by 2-partition of singleton defined on countable state space , where . We have studied the trajectory behavior of such operator for any initial measure . It is shown that such operator converges to a fixed point which indicates...
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| Format: | Article |
| Language: | English English |
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Penerbit UTM Press
2019
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| Online Access: | http://irep.iium.edu.my/76905/ http://irep.iium.edu.my/76905/1/76905_A%20class%20of%20geometric%20quadratic%20stochastic.pdf http://irep.iium.edu.my/76905/2/76905_A%20class%20of%20geometric%20quadratic%20stochastic_WOS.pdf |
| _version_ | 1848788360417509376 |
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| author | Karim, Siti Nurlaili Hamzah, Nur Zatul Akmar Ganikhodjaev, Nasir |
| author_facet | Karim, Siti Nurlaili Hamzah, Nur Zatul Akmar Ganikhodjaev, Nasir |
| author_sort | Karim, Siti Nurlaili |
| building | IIUM Repository |
| collection | Online Access |
| description | We have constructed a Geometric quadratic stochastic operator generated by 2-partition of singleton defined on countable state space , where . We have studied the trajectory behavior of such operator for any initial measure . It is shown that such operator converges to a fixed point which indicates the existence of the strong limit of the sequence . This follows that such operator is a regular transformation. |
| first_indexed | 2025-11-14T17:39:35Z |
| format | Article |
| id | iium-76905 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:39:35Z |
| publishDate | 2019 |
| publisher | Penerbit UTM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-769052019-12-31T07:47:51Z http://irep.iium.edu.my/76905/ A class of geometric quadratic stochastic operator on countable state space and its regularity Karim, Siti Nurlaili Hamzah, Nur Zatul Akmar Ganikhodjaev, Nasir QA Mathematics We have constructed a Geometric quadratic stochastic operator generated by 2-partition of singleton defined on countable state space , where . We have studied the trajectory behavior of such operator for any initial measure . It is shown that such operator converges to a fixed point which indicates the existence of the strong limit of the sequence . This follows that such operator is a regular transformation. Penerbit UTM Press 2019-12-03 Article PeerReviewed application/pdf en http://irep.iium.edu.my/76905/1/76905_A%20class%20of%20geometric%20quadratic%20stochastic.pdf application/pdf en http://irep.iium.edu.my/76905/2/76905_A%20class%20of%20geometric%20quadratic%20stochastic_WOS.pdf Karim, Siti Nurlaili and Hamzah, Nur Zatul Akmar and Ganikhodjaev, Nasir (2019) A class of geometric quadratic stochastic operator on countable state space and its regularity. Malaysian Journal of Fundamental and Applied Sciences (MJFAS), 15 (6). pp. 872-877. ISSN 2289-5981 E-ISSN 2289-599X https://mjfas.utm.my/index.php/mjfas/article/view/1423/pdf https://doi.org/10.11113/mjfas.v15n6.1423 |
| spellingShingle | QA Mathematics Karim, Siti Nurlaili Hamzah, Nur Zatul Akmar Ganikhodjaev, Nasir A class of geometric quadratic stochastic operator on countable state space and its regularity |
| title | A class of geometric quadratic stochastic operator on countable state space and its regularity |
| title_full | A class of geometric quadratic stochastic operator on countable state space and its regularity |
| title_fullStr | A class of geometric quadratic stochastic operator on countable state space and its regularity |
| title_full_unstemmed | A class of geometric quadratic stochastic operator on countable state space and its regularity |
| title_short | A class of geometric quadratic stochastic operator on countable state space and its regularity |
| title_sort | class of geometric quadratic stochastic operator on countable state space and its regularity |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/76905/ http://irep.iium.edu.my/76905/ http://irep.iium.edu.my/76905/ http://irep.iium.edu.my/76905/1/76905_A%20class%20of%20geometric%20quadratic%20stochastic.pdf http://irep.iium.edu.my/76905/2/76905_A%20class%20of%20geometric%20quadratic%20stochastic_WOS.pdf |