Ergodicities of infinite dimensional nonlinear stochastic operators

• Main Authors: Mukhamedov, F., Khakimov, O., Embong, A. F.
• Format: Article
• Published: Birkhauser 2020
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/93894/; https://doi.org/10.1007/s12346-020-00415-z

In the present paper, we introduce two classes L+ and L- of nonlinear stochastic operators acting on the simplex of ℓ1-space. For each operator V from these classes, we study omega limiting sets ωV and ωV(w) with respect to ℓ1-norm and pointwise convergence, respectively. As a consequence of the inv...