Arvanitis, Stelios2025-03-262025-03-2603/13/20172017-03-13https://pyxida.aueb.gr/handle/123456789/6519We establish the existence of a unique stationary and ergodic solution for systems of stochastic recurrence equations defined by stochastic self-maps on Polish metric spaces based on the fixedpoint theorem of Matkowski. The results can be useful in cases where the stochastic Lipschitz co-efficients implied by the currently used method either do not exist, or lead to the imposition ofunecessarily strong conditions for the derivation of the solution.6 pagesCC BY: Attribution alone 4.0https://creativecommons.org/licenses/by/4.0/stochastic recurrence equationsstationarityergodicityMatkowski’s FPTcomparison functionText