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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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 |
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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 |
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. |
format |
Article |
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 |
title |
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_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_sort |
class of geometric quadratic stochastic operator on countable state space and its regularity |
publisher |
Penerbit UTM Press |
publishDate |
2019 |
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 |
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2023-09-18T21:48:36Z |
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2023-09-18T21:48:36Z |
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1777413617748017152 |