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Fixed point results and their applications to Markov processes

Fixed Point Theory and Applications volume 2005, Article number: 963238 (2005) Cite this article

Abstract

New existence and comparison results are proved for fixed points of increasing operators and for common fixed points of operator families in partially ordered sets. These results are then applied to derive existence and comparison results for invariant measures of Markov processes in a partially ordered Polish space.

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  1. Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, Oulu, 90014, Finland

    S Heikkilä

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  1. S Heikkilä
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Correspondence to S Heikkilä.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Heikkilä, S. Fixed point results and their applications to Markov processes. Fixed Point Theory Appl 2005, 963238 (2005). https://doi.org/10.1155/FPTA.2005.307

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  • DOI: https://doi.org/10.1155/FPTA.2005.307