Remarks Connected with the Weak Limit of Iterates of Some Random-Valued Functions and Iterative Functional Equations

Remarks Connected with the Weak Limit of Iterates of Some Random-Valued Functions and Iterative Functional Equations

The paper consists of two parts. At first, assuming that (Ω, A, P) is a probability space and (X, ϱ) is a complete and separable metric space with the σ-algebra 𝒝 of all its Borel subsets we consider the set 𝒭c of all 𝒝 ⊗ 𝒜-measurable and contractive in mean functions f : X × Ω → X with finite integ...

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Bibliographic Details
Main Author: Baron Karol
Format: Article
Language:English
Published: Sciendo 2020-07-01
Series:Annales Mathematicae Silesianae
Subjects:
random-valued functions
iterates
convergence in law
continuous dependence on the given function
fourier transform
iterative functional equations
continuous and lipschitz solutions
26a18
39b12
39b32
39b52
60b12
60b15
Online Access:http://www.degruyter.com/view/j/amsil.2020.34.issue-1/amsil-2019-0015/amsil-2019-0015.xml?format=INT

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http://www.degruyter.com/view/j/amsil.2020.34.issue-1/amsil-2019-0015/amsil-2019-0015.xml?format=INT

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