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In this paper, we construct a nonhomogeneous geometric quadratic stochastic operator generated by 2-partition on countable state space . The limiting behavior of such operator is studied. We have proved that such operator possesses the regular property.T urk J Math (2022) 46: 1397 – 1407 © TÜBİT AK doi:10.3906/mat-2103-30 Turkish Journal of Ma