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

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

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	7665/76905
Uncontrolled Keywords:	Singleton, countable state space, quadratic stochastic operator, regular transformation
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences Kulliyyah of Science
Depositing User:	Prof. Nasir Ganikhodjaev
Date Deposited:	31 Dec 2019 15:47
Last Modified:	31 Dec 2019 15:47
URI:	http://irep.iium.edu.my/id/eprint/76905

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