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A Convex Combination of Two Quadratic Stochastic Operators Acting in the 2D Simplex

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Abstract

In this paper, we consider a quadratic operator on the two-dimensional simplex, which is a convex combination of two quadratic stochastic operators. It is proved that the center of the simplex is a unique fixed point of the operator and this fixed point is an attracting point.

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Authors and Affiliations

  1. Bukhara State University, 705018, Bukhara, Uzbekistan

    B. J. Mamurov

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  1. B. J. Mamurov
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Correspondence to B. J. Mamurov.

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Mamurov, B.J. A Convex Combination of Two Quadratic Stochastic Operators Acting in the 2D Simplex. Russ Math. 67, 55–58 (2023). https://doi.org/10.3103/S1066369X23070083

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  • DOI: https://doi.org/10.3103/S1066369X23070083

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