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Common Fixed Point Theorems between Finite Families of Mappings in Intuitionistic Fuzzy Metric Spaces

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Abstract

In intuitionistic fuzzy metric spaces, under various compatible mapping conditions, we propose a common fixed point theorem for four mappings and generalize it to a common fixed point theorem for four finite families of mappings. On the basis of that, we can further extend theorems to the common fixed point theorems of six finite families of mappings.

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Acknowledgments

The authors thank the referees and the editor for their valuable comments and suggestions which have improved the quality of the paper.

Funding

This work was supported in part by the National Natural Science Foundation of China (grant no. 61973092 ), the National Social Science Fund of China (grant no. 19BGL094), the Natural Science Foundation of Guangdong province (grant no. 2019A1515012104 and 2015A030313485), and the Guangzhou Science and Technology Project (grant no. 201707010494).

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Authors and Affiliations

  1. Guangdong University of Technology, Guangzhou, 510520, China

    J. Wang & L. Yang

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  1. J. Wang
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  2. L. Yang
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Correspondence to J. Wang.

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Wang, J., Yang, L. Common Fixed Point Theorems between Finite Families of Mappings in Intuitionistic Fuzzy Metric Spaces. Math Notes 111, 795–807 (2022). https://doi.org/10.1134/S0001434622050133

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  • DOI: https://doi.org/10.1134/S0001434622050133

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