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Results in wt -Distance over b -Metric Spaces

Author

Listed:
  • Erdal Karapınar

    (Department of Medical Research, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics, Çankaya University, 06790 Etimesgut, Ankara, Turkey)

  • Cristian Chifu

    (Department of Business, Babeş-Bolyai University Cluj-Napoca, Horea Street, No. 7, 400084 Cluj-Napoca, Romania)

Abstract

In this manuscript, we introduce Meir-Keeler type contractions and Geraghty type contractions in the setting of the w t -distances over b -metric spaces. We examine the existence of a fixed point for such mappings. Under some additional assumption, we proved the uniqueness of the found fixed point.

Suggested Citation

  • Erdal Karapınar & Cristian Chifu, 2020. "Results in wt -Distance over b -Metric Spaces," Mathematics, MDPI, vol. 8(2), pages 1-10, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:220-:d:318340
    as

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    References listed on IDEAS

    as
    1. Hamed H. Alsulami & Erdal Karapınar & Farshid Khojasteh & Antonio-Francisco Roldán-López-de-Hierro, 2014. "A Proposal to the Study of Contractions in Quasi-Metric Spaces," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-10, August.
    2. Erdal Karapınar & Bessem Samet, 2012. "Generalized 𠜶 - ð Contractive Type Mappings and Related Fixed Point Theorems with Applications," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, September.
    Full references (including those not matched with items on IDEAS)

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