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On the Correlation between Banach Contraction Principle and Caristi’s Fixed Point Theorem in b -Metric Spaces

Author

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  • Salvador Romaguera

    (Instituto Universitario de Matemática Pura y Aplicada-IUMPA, Universitat Politècnica de València, 46022 Valencia, Spain)

Abstract

We solve a question posed by E. Karapinar, F. Khojasteh and Z.D. Mitrović in their paper “A Proposal for Revisiting Banach and Caristi Type Theorems in b -Metric Spaces”. We also characterize the completeness of b -metric spaces with the help of a variant of the contractivity condition introduced by the authors in the aforementioned article.

Suggested Citation

  • Salvador Romaguera, 2022. "On the Correlation between Banach Contraction Principle and Caristi’s Fixed Point Theorem in b -Metric Spaces," Mathematics, MDPI, vol. 10(1), pages 1-7, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:1:p:136-:d:716594
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    References listed on IDEAS

    as
    1. Erdal Karapınar & Farshid Khojasteh & Zoran D. Mitrović, 2019. "A Proposal for Revisiting Banach and Caristi Type Theorems in b -Metric Spaces," Mathematics, MDPI, vol. 7(4), pages 1-4, March.
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    Cited by:

    1. Sergei Aliukov & Anatoliy Alabugin & Konstantin Osintsev, 2022. "Review of Methods, Applications and Publications on the Approximation of Piecewise Linear and Generalized Functions," Mathematics, MDPI, vol. 10(16), pages 1-43, August.

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