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A contraction theorem in fuzzy metric spaces

Abstract

A fixed point theorem is proved. Moreover, fuzzy Edelstein's contraction theorem is described. Finally, the existence of at least one periodic point is shown.

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Correspondence to Abdolrahman Razani.

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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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Razani, A. A contraction theorem in fuzzy metric spaces. Fixed Point Theory Appl 2005, 427012 (2005). https://doi.org/10.1155/FPTA.2005.257

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  • DOI: https://doi.org/10.1155/FPTA.2005.257