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A note on the results of Suzuki, Miculescu and Mihail

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Abstract

In this note, we give a short proof of the recent results of Miculescu and Mihail (J Fixed Point Theory Appl 19:2153–2163, 2017) and Suzuki (J Inequal Appl 256:11, 2017) in b-metric spaces.

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References

  1. Bakhtin, I.A.: The contraction mapping principle in quasimetric spaces. Funct. Anal. Ulianowsk. Gos. Ped. Inst. 30, 26–37 (1989)

    Google Scholar 

  2. Czerwik, S.: Contraction mappings in b-metric spaces. Acta Math. Inform. Univ. Ostrav. 1, 5–11 (1993)

    MathSciNet  MATH  Google Scholar 

  3. Jovanović, M., Kadelburg, Z., Radenović, S.: Common fixed point results in metric-type spaces. Fixed Point Theory Appl 978121, 15 (2010)

    MathSciNet  MATH  Google Scholar 

  4. Miculescu, R., Mihail, A.: New fixed point theorems for set-valued contractions in b-metric spaces. J. Fixed Point Theory Appl. 19, 2153–2163 (2017)

    Article  MathSciNet  Google Scholar 

  5. Singh, S.L., Czerwik, S., Król, K., Singh, A.: Coincidences and fixed points of hybrid contractions. Tamsui Oxf. J. Math. Sci. 24, 401–416 (2008)

    MathSciNet  MATH  Google Scholar 

  6. Suzuki, T.: Basic inequality on a b-metric space and its applications. J. Inequal. Appl. 256, 11 (2017). https://doi.org/10.1186/s13660-017-1528-3

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

The author wishes to thank the editor and the referee for a guidance and a help in the preparation of this paper.

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Authors and Affiliations

  1. Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Zoran D. Mitrović

  2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Zoran D. Mitrović

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  1. Zoran D. Mitrović
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Correspondence to Zoran D. Mitrović.

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Mitrović, Z.D. A note on the results of Suzuki, Miculescu and Mihail. J. Fixed Point Theory Appl. 21, 24 (2019). https://doi.org/10.1007/s11784-019-0663-5

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  • DOI: https://doi.org/10.1007/s11784-019-0663-5

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