%R 10.11113/mjfas.v15n6.1423
%J Malaysian Journal of Fundamental and Applied Sciences
%V 15
%O Cited by: 10
%T A class of geometric quadratic stochastic operator on countable state space and its regularity
%A Siti Nurlaili Karim
%A Nur Zatul Akmar Hamzah
%A Nasir Ganikhodjaev
%L scholars20306
%P 872 – 877
%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.
%D 2019
%I Penerbit UTM Press
%N 6