Geodesic
A convex combination of two quadratic stochastic operators acting in the $2D$-simplex
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2023), pp. 66-70

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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.
Mots-clés : Simplex
Keywords: quadratic stochastic operators, convex combinations, fixed point. 
@article{IVM_2023_7_a6,
     author = {B. J. Mamurov},
     title = {A convex combination of two quadratic stochastic operators acting in the $2D$-simplex},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {66--70},
     publisher = {mathdoc},
     number = {7},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_7_a6/}
}
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B. J. Mamurov. A convex combination of two quadratic stochastic operators acting in the $2D$-simplex. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2023), pp. 66-70. http://geodesic.mathdoc.fr/item/IVM_2023_7_a6/