TY - JOUR AV - none JF - Malaysian Journal of Fundamental and Applied Sciences UR - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103180228&doi=10.11113%2fmjfas.v15n6.1423&partnerID=40&md5=1251083b7778a98ee4183c340bc92b53 ID - scholars20306 PB - Penerbit UTM Press VL - 15 SN - 2289599X TI - A class of geometric quadratic stochastic operator on countable state space and its regularity N1 - Cited by: 10 Y1 - 2019/// IS - 6 N2 - We have constructed a Geometric quadratic stochastic operator generated by 2-partition ? 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 ? 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. A1 - Karim, Siti Nurlaili A1 - Hamzah, Nur Zatul Akmar A1 - Ganikhodjaev, Nasir ER -