Article

On a Superposition of Volterra and Permuted Volterra Quadratic Stochastic Operators

K. A. AralovaRomanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, UzbekistanUygun JamilovCentral Asian University, 111221, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2024en

ABI

Abstract

In the present paper, we study dynamical systems generated by stochastic operators which are superpositions of extremal Volterra and non-Volterra quadratic stochastic operators defined on the two-dimensional simplex. It is described the set of all periodic and the set of all fixed points of such operators. Further for such operator we showed that for an initial point their trajectory either converges to a periodic trajectory or diverges.

Topics

Matrix Theory and Algorithms Fixed Point Theorems Analysis Approximation Theory and Sequence Spaces

Identifiers

DOI: 10.1134/s1995080224600535

Citations and references

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