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Some results on fixed points in the fuzzy metric space

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Abstract

Fixed point theory is one of famous theories from theoretical and numerical point of views. Banach fixed point theorem plays a main role in this theory. In this article, Grabiec’s fuzzy Banach contraction theorem [3] and Vasuki’s theorem [12] for a complete fuzzy metric space, in the sense of Song [11] (or George and Veeramani), is proved by an extra condition.

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Authors and Affiliations

  1. Deptartment of Mathematics, Faculty of Science, Imam Khomeini International University, P. O. Box: 34194-288, Qazvin, Iran

    Abdolrahman Razani

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  1. Abdolrahman Razani
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  2. Maryam Shirdaryazdi
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Razani, A., Shirdaryazdi, M. Some results on fixed points in the fuzzy metric space. J. Appl. Math. Comput. 20, 401–408 (2006). https://doi.org/10.1007/BF02831947

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  • DOI: https://doi.org/10.1007/BF02831947

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