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Original scientific paper

Sequences of iterates of random-valued vector functions and continuous solutions of related equations

Rafal Kapica ; Institute of Mathematics, Silesian University, Bankowa 14, PL-40-007 Katowice, Poland

Full text: english pdf 134 Kb

page 389-399

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Given a probability space (Ω, A, P), a separable metric space X, and a random-valued vector function f : X × Ω → X, we obtain some theorems on the existence and on the uniqueness of continuous solutions φ : X → R of the equation φ(x) = ∫Ω φ(f(x,ω)) P(dω).


Random-valued vector functions, sequences of iterates, iterative functional equations, continuous solutions

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