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On Pata–Suzuki-Type Contractions

Author

Listed:
  • Erdal Karapınar

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

  • V. M. L. Hima Bindu

    (Department of Mathematics, Koneru Lakshmaiah Educational Foundation, Vaddeswaram, Guntur 522 502, Andhra Pradesh, India)

Abstract

In this manuscript, we introduce two notions, Pata–Suzuki Z -contraction and Pata Z -contraction for the pair of self-mapping g , f in the context of metric spaces. For such types of contractions, both the existence and uniqueness of a common fixed point are examined. We provide examples to illustrate the validity of the given results. Further, we consider ordinary differential equations to apply our obtained results.

Suggested Citation

  • Erdal Karapınar & V. M. L. Hima Bindu, 2020. "On Pata–Suzuki-Type Contractions," Mathematics, MDPI, vol. 8(3), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:389-:d:330928
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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.
    Full references (including those not matched with items on IDEAS)

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