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New Hybrid Contractions on b -Metric Spaces

Author

Listed:
  • Erdal Karapınar

    (Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • Andreea Fulga

    (Department of Mathematics and Computer Sciences, Universitatea Transilvania Brasov, 500036 Brasov, Romania)

Abstract

In this manuscript, we introduce the notion of b -hybrid contraction in the setting of b -metric space. We investigate the existence and uniqueness of a fixed point for this contraction. Our results combine and merge several existing results in the corresponding literature and we list some of them as corollaries. Finally, we consider an Ulam’s type stability for an application.

Suggested Citation

  • Erdal Karapınar & Andreea Fulga, 2019. "New Hybrid Contractions on b -Metric Spaces," Mathematics, MDPI, vol. 7(7), pages 1-15, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:7:p:578-:d:244083
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    Citations

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    Cited by:

    1. Rizwan Anjum & Andreea Fulga & Muhammad Waqar Akram, 2023. "Applications to Solving Variational Inequality Problems via MR-Kannan Type Interpolative Contractions," Mathematics, MDPI, vol. 11(22), pages 1-11, November.
    2. Mohammed Shehu Shagari & Maha Noorwali & Akbar Azam, 2023. "Hybrid Fixed Point Theorems of Fuzzy Soft Set-Valued Maps with Applications in Integral Inclusions and Decision Making," Mathematics, MDPI, vol. 11(6), pages 1-20, March.
    3. Xiaolan Liu & Mi Zhou & Arslan Hojat Ansari & Naeem Saleem & Mukesh Kumar Jain, 2023. "Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application," Mathematics, MDPI, vol. 12(1), pages 1-16, December.

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