@article{scholars20305, number = {3}, journal = {Malaysian Journal of Fundamental and Applied Sciences}, title = {Regularity of Geometric quadratic stochastic operator generated by 2-partition of infinite points}, publisher = {Penerbit UTM Press}, note = {Cited by: 7; All Open Access, Gold Open Access}, year = {2020}, doi = {10.11113/mjfas.v16n3.1737}, volume = {16}, pages = {281 - 285}, 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. {\copyright} 2021 Malaysian Journal of Fundamental and Applied Sciences. All Rights Reserved.}, url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103166512&doi=10.11113\%2fmjfas.v16n3.1737&partnerID=40&md5=ceabc6ee9706d899d74c4602636febac}, author = {Karim, Siti Nurlaili and Hamzah, Nur Zatul Akmar and Ganikhodjaev, Nasir}, issn = {2289599X} }