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
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Abstract
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.
| Item Type: | Article (Journal) |
|---|---|
| Additional Information: | 7665/77935 |
| Uncontrolled Keywords: | Infinite points, countable state space, quadratic stochastic operator, regular transformation |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): | Kulliyyah of Science Kulliyyah of Science > Department of Computational and Theoretical Sciences |
| Depositing User: | Nur Zatul Akmar Hamzah |
| Date Deposited: | 24 Jun 2020 15:52 |
| Last Modified: | 24 Jun 2020 15:52 |
| URI: | http://irep.iium.edu.my/id/eprint/77935 |
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