Regularity of geometric quadratic stochastic operator generated by 2-partition of infinite points
In this research, we construct a class of quadratic stochastic operator called Geometric quadratic stochastic operator generated by arbitrary 2-partition of infinite points on a countable state space , where . We also study the limiting behavior of such operator by proving the existence of the limi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2020
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/77935/ http://irep.iium.edu.my/77935/1/77935_Regularity%20of%20Geometric%20quadratic%20stochastic.pdf |
| _version_ | 1848788525940473856 |
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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 | In this research, we construct a class of quadratic stochastic operator called Geometric quadratic stochastic operator generated by arbitrary 2-partition of infinite points on a countable state space , where . We also study the limiting behavior of such operator by proving the existence of the limit of the sequence through the convergence of the trajectory to a unique fixed point. It is established that such operator is a regular transformation. |
| first_indexed | 2025-11-14T17:42:13Z |
| format | Article |
| id | iium-77935 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T17:42:13Z |
| publishDate | 2020 |
| publisher | Penerbit UTM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-779352020-06-24T07:52:29Z http://irep.iium.edu.my/77935/ Regularity of geometric quadratic stochastic operator generated by 2-partition of infinite points Karim, Siti Nurlaili Hamzah, Nur Zatul Akmar Ganikhodjaev, Nasir Q Science (General) QA75 Electronic computers. Computer science In this research, we construct a class of quadratic stochastic operator called Geometric quadratic stochastic operator generated by arbitrary 2-partition of infinite points on a countable state space , where . We also study the limiting behavior of such operator by proving the existence of the limit of the sequence through the convergence of the trajectory to a unique fixed point. It is established that such operator is a regular transformation. Penerbit UTM Press 2020-06-15 Article PeerReviewed application/pdf en http://irep.iium.edu.my/77935/1/77935_Regularity%20of%20Geometric%20quadratic%20stochastic.pdf Karim, Siti Nurlaili and Hamzah, Nur Zatul Akmar and Ganikhodjaev, Nasir (2020) Regularity of geometric quadratic stochastic operator generated by 2-partition of infinite points. Malaysian Journal of Fundamental and Applied Sciences (MJFAS), 16 (3). pp. 281-285. ISSN 2289-5981 E-ISSN 2289-599X https://mjfas.utm.my/index.php/mjfas/article/view/1737/pdf |
| spellingShingle | Q Science (General) QA75 Electronic computers. Computer science Karim, Siti Nurlaili Hamzah, Nur Zatul Akmar Ganikhodjaev, Nasir Regularity of geometric quadratic stochastic operator generated by 2-partition of infinite points |
| title | Regularity of geometric quadratic stochastic operator generated by 2-partition of infinite points |
| title_full | Regularity of geometric quadratic stochastic operator generated by 2-partition of infinite points |
| title_fullStr | Regularity of geometric quadratic stochastic operator generated by 2-partition of infinite points |
| title_full_unstemmed | Regularity of geometric quadratic stochastic operator generated by 2-partition of infinite points |
| title_short | Regularity of geometric quadratic stochastic operator generated by 2-partition of infinite points |
| title_sort | regularity of geometric quadratic stochastic operator generated by 2-partition of infinite points |
| topic | Q Science (General) QA75 Electronic computers. Computer science |
| url | http://irep.iium.edu.my/77935/ http://irep.iium.edu.my/77935/ http://irep.iium.edu.my/77935/1/77935_Regularity%20of%20Geometric%20quadratic%20stochastic.pdf |