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Hybrid Contractions on Branciari Type Distance Spaces

Author

Listed:
  • Kamaleldin Abodayeh

    (Department of Math and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

  • Erdal Karapınar

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

  • Ariana Pitea

    (Department of Mathematics and Informatics, University Polithenica of Bucharest, 060042 Bucharest, Romania)

  • Wasfi Shatanawi

    (Department of Math and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

Abstract

In this manuscript, we consider some hybrid contractions that merge linear and nonlinear contractions in the abstract spaces induced by the Branciari distance and the Branciari b -distance. More precisely, we introduce the notion of a ( p , c ) -weight type ψ -contraction in the setting of Branciari distance spaces and the concept of a ( p , c ) -weight type contraction in Branciari b -distance spaces. We investigate the existence of a fixed point of such operators in Branciari type distance spaces and illustrate some examples to show that the presented results are genuine in the literature.

Suggested Citation

  • Kamaleldin Abodayeh & Erdal Karapınar & Ariana Pitea & Wasfi Shatanawi, 2019. "Hybrid Contractions on Branciari Type Distance Spaces," Mathematics, MDPI, vol. 7(10), pages 1-11, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:994-:d:278350
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    References listed on IDEAS

    as
    1. Tomonari Suzuki, 2014. "Generalized Metric Spaces Do Not Have the Compatible Topology," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, August.
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