Original scientific paper

https://doi.org/10.3336/gm.42.2.12

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

Abstract

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).

Keywords

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

Hrčak ID:

17950

URI

https://hrcak.srce.hr/17950

Publication date:

11.12.2007.

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