Continuous solutions to two iterative functional equations

DOI10.1007/S00010-021-00794-XzbMath1483.39010OpenAlexW3137447052MaRDI QIDQ2055259

Karol Baron

Publication date: 6 December 2021

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-021-00794-x

zbMATH Keywords

convergence in lawiterative functional equationsHölder continuous solutionsiteratesdense setssets of first categoryrandom-valued functionsHaar zero sets

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Iteration theory, iterative and composite equations (39B12) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Random iteration (37H12)

Related Items (1)

Strong law of large numbers for iterates of some random-valued functions

Cites Work

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• On Lipschitzian solutions to an inhomogeneous linear iterative equation
• The geometric rate of convergence of random iteration in the Hutchinson distance
• Weak limit of iterates of some random-valued functions and its application
• On sets of Haar measure zero in abelian Polish groups
• Christensen Zero Sets and Measurable Convex Functions
• Real Analysis and Probability

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