On $F$-Quadratic Stochastic Operators

Details On $F$-Quadratic Stochastic Operators On $F$-Quadratic Stochastic Operators

2006-12-09

arxiv.org/abs/math/0612225v1

Mathematics

Dynamical Systems

8 pages

Scientific paper

In this paper we introduce a notion of $F-$ quadratic stochastic operator.
For a wide class of such operators we show that each operator of the class has
unique fixed point. Also we prove that any trajectory of the $F$-quadratic
stochastic operator converges to the fixed point exponentially fast.

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