%0 Journal Article
%@ 2289599X
%A Karim, Siti Nurlaili
%A Hamzah, Nur Zatul Akmar
%A Ganikhodjaev, Nasir
%D 2020
%F scholars:20305
%I Penerbit UTM Press
%J Malaysian Journal of Fundamental and Applied Sciences
%N 3
%P 281 – 285
%R 10.11113/mjfas.v16n3.1737
%T Regularity of Geometric quadratic stochastic operator generated by 2-partition of infinite points
%U https://khub.utp.edu.my/scholars/20305/
%V 16
%X 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. © 2021 Malaysian Journal of Fundamental and Applied Sciences. All Rights Reserved.
%Z Cited by: 7; All Open Access, Gold Open Access