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

B. J. MamurovBukhara State University, 705018, Bukhara, Uzbekistan
Russian Mathematicsjournal2023en
ABI

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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