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A fixed point theorem for analytic functions

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We prove that each analytic self-map of the open unit disk which interpolates between certain -tuples must have a fixed point.

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Correspondence to Valentin Matache.

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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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Matache, V. A fixed point theorem for analytic functions. Fixed Point Theory Appl 2005, 594832 (2005). https://doi.org/10.1155/FPTA.2005.87

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  • DOI: https://doi.org/10.1155/FPTA.2005.87