relation: https://khub.utp.edu.my/scholars/20306/
title: A class of geometric quadratic stochastic operator on countable state space and its regularity
creator: Karim, Siti Nurlaili
creator: Hamzah, Nur Zatul Akmar
creator: Ganikhodjaev, Nasir
description: 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.
publisher: Penerbit UTM Press
date: 2019
type: Article
type: PeerReviewed
identifier:   Karim, Siti Nurlaili and Hamzah, Nur Zatul Akmar and Ganikhodjaev, Nasir  (2019) A class of geometric quadratic stochastic operator on countable state space and its regularity.  Malaysian Journal of Fundamental and Applied Sciences, 15 (6).  872 – 877.  ISSN 2289599X     
relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103180228&doi=10.11113%2fmjfas.v15n6.1423&partnerID=40&md5=1251083b7778a98ee4183c340bc92b53
relation: 10.11113/mjfas.v15n6.1423
identifier: 10.11113/mjfas.v15n6.1423