TY - JOUR N2 - 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. A1 - Karim, Siti Nurlaili A1 - Hamzah, Nur Zatul Akmar A1 - Ganikhodjaev, Nasir IS - 3 N1 - Cited by: 7; All Open Access, Gold Open Access Y1 - 2020/// TI - Regularity of Geometric quadratic stochastic operator generated by 2-partition of infinite points SN - 2289599X VL - 16 PB - Penerbit UTM Press JF - Malaysian Journal of Fundamental and Applied Sciences AV - none UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103166512&doi=10.11113%2fmjfas.v16n3.1737&partnerID=40&md5=ceabc6ee9706d899d74c4602636febac ID - scholars20305 ER -