eprintid: 20306
rev_number: 3
eprint_status: archive
userid: 1
dir: disk0/00/02/03/06
datestamp: 2025-11-03 08:49:27
lastmod: 2025-11-03 08:49:27
status_changed: 2025-11-03 08:49:27
type: article
metadata_visibility: show
creators_name: Karim, Siti Nurlaili
creators_name: Hamzah, Nur Zatul Akmar
creators_name: Ganikhodjaev, Nasir
title: A class of geometric quadratic stochastic operator on countable state space and its regularity
ispublished: pub
note: Cited by: 10
abstract: 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.
date: 2019
publisher: Penerbit UTM Press
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103180228&doi=10.11113%2fmjfas.v15n6.1423&partnerID=40&md5=1251083b7778a98ee4183c340bc92b53
id_number: 10.11113/mjfas.v15n6.1423
full_text_status: none
publication: Malaysian Journal of Fundamental and Applied Sciences
volume: 15
number: 6
pagerange: 872 – 877
refereed: TRUE
issn: 2289599X
citation:   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