On nonhomogeneous geometric quadratic stochastic operators

Authors: SITI NURLAILI KARIM, NUR ZATUL AKMAR HAMZAH, NASIR GANIKHODJAEV

Abstract: n this paper, we construct a nonhomogeneous geometric quadratic stochastic operator generated by 2-partition $\xi$ 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.

Keywords: Quadratic stochastic operator, countable state space, partition, limiting behavior, regular transformation

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