Existence and uniqueness of a stationary and ergodic solution to stochastic recurrence equations via Matkowski’s FPT

We establish the existence of a unique stationary and ergodic solution for systems of stochastic recurrence equations defined by stochastic self-maps on Polish metric spaces based on the fixed point theorem of Matkowski. The results can be useful in cases where the stochastic Lipschitz coefficients...

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Bibliographic Details
Main Author: Stelios Arvanitis
Format: Article
Language:English
Published: Taylor & Francis Group 2017-01-01
Series:Cogent Mathematics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2017.1380392