A class of geometric quadratic stochastic operator on countable state space and its regularity
DOI:
https://doi.org/10.11113/mjfas.v15n6.1423Keywords:
Singleton, Countable State Space, Quadratic Stochastic Operator, Regular TransformationAbstract
We have constructed a Geometric quadratic stochastic operator generated by 2-partition of singleton defined on countable state space , where . We have studied the trajectory behavior of such operator for any initial measure . It is shown that such operator converges to a fixed point which indicates the existence of the strong limit of the sequence . This follows that such operator is a regular transformation.
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