Abstract
Using the Banach fixed-point theorem we provide a simple criterion of the geometric rate of convergence and of asymptotic stability of Markov operators in the Hutchinson distance. The obtained results are applied to sequences of iterates of random-valued functions.
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This work was partially supported by the Faculty of Applied Mathematics AGH UST statutory tasks within subsidy of Ministry of Science and Higher Education.
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Dedicated to Professor Karol Baron on his 70th birthday.
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Kapica, R. The geometric rate of convergence of random iteration in the Hutchinson distance. Aequat. Math. 93, 149–160 (2019). https://doi.org/10.1007/s00010-018-0624-x
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DOI: https://doi.org/10.1007/s00010-018-0624-x