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

• 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/76905/1/76905_A%20class%20of%20geometric%20quadratic%20stochastic.pdf; http://irep.iium.edu.my/76905/2/76905_A%20class%20of%20geometric%20quadratic%20stochastic_WOS.pdf; http://irep.iium.edu.my/76905/; https://mjfas.utm.my/index.php/mjfas/article/view/1423/pdf; https://doi.org/10.11113/mjfas.v15n6.1423

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...