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Commuting and compatible mappings in digital metric spaces

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Abstract

In this paper, we prove a common fixed point theorem for commuting mappings and some common fixed point theorems for compatible mappings and its variants in digital metric spaces. Furthermore, we give some examples in support of our results.

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Acknowledgements

C. Park was supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (NRF-2017R1D1A1B04032937).

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Ege University, Bornova, 35100, Izmir, Turkey

    Ozgur Ege

  2. Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonepat, Haryana, India

    Deepak Jain & Sanjay Kumar

  3. Research Institute for Natural Sciences, Hanyang University, Seoul, 04763, South Korea

    Choonkil Park

  4. Department of Mathematics, University of Seoul, Seoul, 02504, South Korea

    Dong Yun Shin

Authors
  1. Ozgur Ege
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  2. Deepak Jain
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  3. Sanjay Kumar
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  4. Choonkil Park
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  5. Dong Yun Shin
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Correspondence to Choonkil Park.

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Ege, O., Jain, D., Kumar, S. et al. Commuting and compatible mappings in digital metric spaces. J. Fixed Point Theory Appl. 22, 5 (2020). https://doi.org/10.1007/s11784-019-0744-5

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  • DOI: https://doi.org/10.1007/s11784-019-0744-5

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