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Dichotomy of Iterated Means for Nonlinear Operators

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Abstract

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.

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Authors and Affiliations

  1. Department of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, Kuantan, Pahang, Malaysia

    M. Saburov

  2. Department of Mathematics, College of Engineering and Technology, American University of the Middle East, Egaila, Kuwait

    M. Saburov

Authors
  1. M. Saburov
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Correspondence to M. Saburov.

Additional information

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 52, No. 1, pp. 89–91, 2018

Original Russian Text Copyright © by M. Saburov

This work was partially supported by the MOHE grant FRGS14-141-0382. The author also thanks the Junior Associate Scheme, Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy, where this paper was written, for invitation and hospitality.

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Saburov, M. Dichotomy of Iterated Means for Nonlinear Operators. Funct Anal Its Appl 52, 74–76 (2018). https://doi.org/10.1007/s10688-018-0212-9

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  • DOI: https://doi.org/10.1007/s10688-018-0212-9

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