Functional Analysis and Its Applications

, Volume 52, Issue 1, pp 74–76 | Cite as

Dichotomy of Iterated Means for Nonlinear Operators

Brief Communications


In this paper, we discuss a dichotomy of iterated means of nonlinear operators acting on a compact convex subset of a finite-dimensional real Banach space. As an application, we study the mean ergodicity of nonhomogeneous Markov chains.

Key words

mean ergodicity iterated means nonhomogeneous Markov chain 


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Computational & Theoretical Sciences, Faculty of ScienceInternational Islamic University MalaysiaKuantanMalaysia
  2. 2.Department of Mathematics, College of Engineering and TechnologyAmerican University of the Middle EastEgailaKuwait

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