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F-quadratic stochastic operators

U. A. RozikovRomanovskii Mathematical Institute, Tashkent, UzbekistanU. U. Zhamilov
2008en
ABI

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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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