Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3168
Keywords
Quadratic stochastic operator, countable state space, partition, limiting behavior, regular transformation
First Page
1397
Last Page
1407
Recommended Citation
KARIM, S. N, HAMZAH, N. Z, & GANIKHODJAEV, N (2022). On nonhomogeneous geometric quadratic stochastic operators. Turkish Journal of Mathematics 46 (4): 1397-1407. https://doi.org/10.55730/1300-0098.3168