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:	QA Mathematics
Online Access:	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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recordtype	eprints
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
_version_	1777413617748017152

A class of geometric quadratic stochastic operator on countable state space and its regularity

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