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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Main Authors: Karim, Siti Nurlaili, Hamzah, Nur Zatul Akmar, Ganikhodjaev, Nasir
Format: Article
Language:English
English
Published: Penerbit UTM Press 2019
Subjects:
Online Access:http://irep.iium.edu.my/76905/
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http://irep.iium.edu.my/76905/1/76905_A%20class%20of%20geometric%20quadratic%20stochastic.pdf
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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
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
topic QA Mathematics
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
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
first_indexed 2023-09-18T21:48:36Z
last_indexed 2023-09-18T21:48:36Z
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