Siti Nurlaili KARIM, Nasir GANIKHODJAEV, Nur Zatul Akmar HAMZAH

On nonhomogeneous geometric quadratic stochastic operators

In this paper, we construct a nonhomogeneous geometric quadratic stochastic operator generated by 2- partition ξ on countable state space X = mathbb{Z}^∗. The limiting behavior of such operator is studied. We have proved that such operator possesses the regular property.

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