Dichotomy of iterated means for nonlinear operators

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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Bibliographic Details
Main Author: Saburov, Mansoor
Format: Article
Language:English
English
English
Published: Springer Nature 2018
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Online Access:http://irep.iium.edu.my/64037/2/64037_Dichotomy%20of%20Iterated%20Means%20for%20Nonlinear%20Operators_scopus.pdf
http://irep.iium.edu.my/64037/9/64037_Dichotomy%20of%20iterated%20means%20for%20nonlinear%20operators.pdf
http://irep.iium.edu.my/64037/10/64037_Dichotomy%20of%20iterated%20means%20for%20nonlinear%20operators_WoS.pdf
http://irep.iium.edu.my/64037/
https://link.springer.com/article/10.1007%2Fs10688-018-0212-9
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Institution: Universiti Islam Antarabangsa Malaysia
Language: English
English
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Summary: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.