IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i5p476-d234274.html
   My bibliography  Save this article

On Some New Fixed Point Results in Complete Extended b -Metric Spaces

Author

Listed:
  • Quanita Kiran

    (School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan)

  • Nayab Alamgir

    (School of Natural Sciences, National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan)

  • Nabil Mlaiki

    (Department of Mathematical Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

  • Hassen Aydi

    (Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia
    China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

Abstract

In this paper, we specified a method that generalizes a number of fixed point results for single and multi-valued mappings in the structure of extended b -metric spaces. Our results extend several existing ones including the results of Aleksic et al. for single-valued mappings and the results of Nadler and Miculescu et al. for multi-valued mappings. Moreover, an example is given at the end to show the superiority of our results.

Suggested Citation

  • Quanita Kiran & Nayab Alamgir & Nabil Mlaiki & Hassen Aydi, 2019. "On Some New Fixed Point Results in Complete Extended b -Metric Spaces," Mathematics, MDPI, vol. 7(5), pages 1-17, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:476-:d:234274
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/5/476/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/5/476/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Badr Alqahtani & Andreea Fulga & Erdal Karapınar, 2018. "Non-Unique Fixed Point Results in Extended B -Metric Space," Mathematics, MDPI, vol. 6(5), pages 1-11, May.
    2. Shyam Lal Singh & Swami Nath Mishra & Renu Chugh & Raj Kamal, 2012. "General Common Fixed Point Theorems and Applications," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, February.
    3. Pradip R. Patle & Deepesh Kumar Patel & Hassen Aydi & Dhananjay Gopal & Nabil Mlaiki, 2019. "Nadler and Kannan Type Set Valued Mappings in M -Metric Spaces and an Application," Mathematics, MDPI, vol. 7(4), pages 1-14, April.
    4. Hassen Aydi & Erdal Karapınar & Bessem Samet, 2012. "Fixed Point Theorems for Various Classes of Cyclic Mappings," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-15, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wei-Shih Du & Chung-Chuan Chen & Marko Kostić & Bessem Samet, 2023. "Preface to the Special Issue “Fixed Point Theory and Dynamical Systems with Applications”," Mathematics, MDPI, vol. 11(13), pages 1-2, June.

    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. 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).
    2. Nabil Mlaiki & Neboǰša Dedovic & Hassen Aydi & Milanka Gardašević-Filipović & Bandar Bin-Mohsin & Stojan Radenović, 2019. "Some New Observations on Geraghty and Ćirić Type Results in b -Metric Spaces," Mathematics, MDPI, vol. 7(7), pages 1-11, July.
    3. Reny George & Ekta Tamrakar & Jelena Vujaković & Hemant Kumar Pathak & Selvavinayagam Velusamy, 2019. "( C , Ψ * , G ) Class of Contractions and Fixed Points in a Metric Space Endowed with a Graph," Mathematics, MDPI, vol. 7(5), pages 1-19, May.

    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:5:p:476-:d:234274. 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.