IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i1p84-d197816.html
   My bibliography  Save this article

Interpolative Ćirić-Reich-Rus Type Contractions via the Branciari Distance

Author

Listed:
  • Hassen Aydi

    (Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, P.O. Box 12020, Industrial Jubail 31961, Saudi Arabia)

  • Chi-Ming Chen

    (Institute for Computational and Modeling Science, National Tsing Hua University, 521 Nan-Dah Road, Hsinchu City 30013, Taiwan)

  • Erdal Karapınar

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

Abstract

In this paper, we initiate the concept of interpolative Ćirić-Reich-Rus type contractions via the Branciari distance and prove some related fixed points results for such mappings. Moreover, an example is provided to show the useability of our obtained results.

Suggested Citation

  • Hassen Aydi & Chi-Ming Chen & Erdal Karapınar, 2019. "Interpolative Ćirić-Reich-Rus Type Contractions via the Branciari Distance," Mathematics, MDPI, vol. 7(1), pages 1-7, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:84-:d:197816
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/1/84/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/1/84/
    Download Restriction: no
    ---><---

    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.
    2. Hassen Aydi & Erdal Karapınar & Wasfi Shatanawi, 2012. "Tripled Fixed Point Results in Generalized Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, May.
    3. N. Mlaiki & K. Abodayeh & H. Aydi & T. Abdeljawad & M. Abuloha, 2018. "Rectangular Metric-Like Type Spaces and Related Fixed Points," Journal of Mathematics, Hindawi, vol. 2018, pages 1-7, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zoran D. Mitrović & Hassen Aydi & Nawab Hussain & Aiman Mukheimer, 2019. "Reich, Jungck, and Berinde Common Fixed Point Results on ℱ-Metric Spaces and an Application," Mathematics, MDPI, vol. 7(5), pages 1-10, April.
    2. Amiri, Pari & Afshari, Hojjat, 2022. "Common fixed point results for multi-valued mappings in complex-valued double controlled metric spaces and their applications to the existence of solution of fractional integral inclusion systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. Naeem Saleem & Salman Furqan & Kinda Abuasbeh & Muath Awadalla, 2023. "Fuzzy Triple Controlled Metric like Spaces with Applications," Mathematics, MDPI, vol. 11(6), pages 1-30, March.
    4. Mujahid Abbas & Hira Iqbal & Manuel De la Sen & Khushdil Ahmad, 2021. "Approximation of Fixed Points of Multivalued Generalized ( α , β )-Nonexpansive Mappings in an Ordered CAT(0) Space," Mathematics, MDPI, vol. 9(16), pages 1-21, August.
    5. Vishnu Narayan Mishra & Luis Manuel Sánchez Ruiz & Pragati Gautam & Swapnil Verma, 2020. "Interpolative Reich–Rus–Ćirić and Hardy–Rogers Contraction on Quasi-Partial b-Metric Space and Related Fixed Point Results," Mathematics, MDPI, vol. 8(9), pages 1-11, September.
    6. Nabil Mlaiki & Mohammad Asim & Mohammad Imdad, 2020. "C *-Algebra Valued Partial b -Metric Spaces and Fixed Point Results with an Application," Mathematics, MDPI, vol. 8(8), pages 1-11, August.
    7. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:84-:d:197816. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.