Regularity of Geometric quadratic stochastic operator generated by 2-partition of infinite points
DOI:
https://doi.org/10.11113/mjfas.v16n3.1737Keywords:
Infinite points, countable state space, quadratic stochastic operator, regular transformationAbstract
In this research, we construct a class of quadratic stochastic operator called Geometric quadratic stochastic operator generated by arbitrary 2-partition of infinite points on a countable state space , where . We also study the limiting behavior of such operator by proving the existence of the limit of the sequence through the convergence of the trajectory to a unique fixed point. It is established that such operator is a regular transformation.
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