%0 Journal Article
%@ 2289599X
%A Karim, Siti Nurlaili
%A Hamzah, Nur Zatul Akmar
%A Ganikhodjaev, Nasir
%D 2019
%F scholars:20306
%I Penerbit UTM Press
%J Malaysian Journal of Fundamental and Applied Sciences
%N 6
%P 872 – 877
%R 10.11113/mjfas.v15n6.1423
%T A class of geometric quadratic stochastic operator on countable state space and its regularity
%U https://khub.utp.edu.my/scholars/20306/
%V 15
%X We have constructed a Geometric quadratic stochastic operator generated by 2-partition ξ of singleton defined on countable state space X , where X =0,1,2,.... We have studied the trajectory behavior of such operator for any initial measure µ ε S(X, F) . It is shown that such operator converges to a fixed point which indicates the existence of the strong limit of the sequence Vn(µ) . This follows that such operator is a regular transformation. © 2019 Penerbit UTM Press. All rights reserved.
%Z Cited by: 10