Dichotomy of Iterated Means for Nonlinear Operators


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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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M. Saburov

Department of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia; Department of Mathematics, College of Engineering and Technology, American University of the Middle East

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Email: msaburov@gmail.com
马来西亚, Kuantan, Pahang; Egaila

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