Remarks connected with the weak limit of iterates of some random-valued functions and iterative functional equations

DOI10.2478/AMSIL-2019-0015zbMath1472.60007OpenAlexW3029424343MaRDI QIDQ2024126

Karol Baron

Publication date: 3 May 2021

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2019-0015

zbMATH Keywords

Fourier transformconvergence in lawiterative functional equationsiteratesrandom-valued functionscontinuous and Lipschitz solutionscontinuous dependence on the given function

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Functional equations for functions with more general domains and/or ranges (39B52) Functional equations for complex functions (39B32) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (2)

Continuous dependence of the weak limit of iterates of some random-valued vector functions ⋮ Continuous dependence in a problem of convergence of random iteration

Cites Work

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• The geometric rate of convergence of random iteration in the Hutchinson distance
• Weak law of large numbers for iterates of random-valued functions
• Correction to: ``Weak limit of iterates of some random-valued functions and its application

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