eprintid: 20305
rev_number: 3
eprint_status: archive
userid: 1
dir: disk0/00/02/03/05
datestamp: 2025-11-03 08:49:17
lastmod: 2025-11-03 08:49:17
status_changed: 2025-11-03 08:49:17
type: article
metadata_visibility: show
creators_name: Karim, Siti Nurlaili
creators_name: Hamzah, Nur Zatul Akmar
creators_name: Ganikhodjaev, Nasir
title: Regularity of Geometric quadratic stochastic operator generated by 2-partition of infinite points
ispublished: pub
note: Cited by: 7; All Open Access, Gold Open Access
abstract: 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.
date: 2020
publisher: Penerbit UTM Press
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103166512&doi=10.11113%2fmjfas.v16n3.1737&partnerID=40&md5=ceabc6ee9706d899d74c4602636febac
id_number: 10.11113/mjfas.v16n3.1737
full_text_status: none
publication: Malaysian Journal of Fundamental and Applied Sciences
volume: 16
number: 3
pagerange: 281 – 285
refereed: TRUE
issn: 2289599X
citation:   Karim, Siti Nurlaili and Hamzah, Nur Zatul Akmar and Ganikhodjaev, Nasir  (2020) Regularity of Geometric quadratic stochastic operator generated by 2-partition of infinite points.  Malaysian Journal of Fundamental and Applied Sciences, 16 (3).  281 – 285.  ISSN 2289599X