Glasnik matematički, Vol. 42 No. 2, 2007.
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
Publication date:
11.12.2007.
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