F-quadratic stochastic operators |
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| Authors: | U. A. Rozikov U. U. Zhamilov |
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| Affiliation: | 1. Romanovskii Mathematical Institute, Tashkent, Uzbekistan
2. Lycée no. 43, Romitan, Bukhara Region, Russia
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| Abstract: | In this paper, we introduce the notion of an F-quadratic stochastic operator. It is shown that each F-quadratic operator has a unique fixed point. Besides, it is proved that any trajectory of an F-quadratic stochastic operator exponentially rapidly converges to this fixed point. |
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