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This article is cited in 1 scientific paper (total in 1 paper)
A convex combination of two quadratic stochastic operators acting in the $2D$-simplex
B. J. Mamurov Bukhara State University, 11 M. Ikbol str., Bukhara, 705018 Republic of Uzbekistan
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.
Keywords:
Simplex, quadratic stochastic operators, convex combinations, fixed point.
Received: 29.03.2023 Revised: 29.03.2023 Accepted: 29.05.2023
Citation:
B. J. Mamurov, “A convex combination of two quadratic stochastic operators acting in the $2D$-simplex”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 7, 66–70; Russian Math. (Iz. VUZ), 67:7 (2023), 55–58
Linking options:
https://www.mathnet.ru/eng/ivm9899 https://www.mathnet.ru/eng/ivm/y2023/i7/p66
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