IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i2p132-d202464.html

Fixed Point Results for Multi-Valued Contractions in b −Metric Spaces and an Application

Author

Listed:
  • Haitham Qawaqneh

    (Department of Mathematics, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM Bangi, Selangor DE 43600, Malaysia
    These authors contributed equipollently to this work.)

  • Mohd Salmi Md Noorani

    (Department of Mathematics, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM Bangi, Selangor DE 43600, Malaysia
    These authors contributed equipollently to this work.)

  • Wasfi Shatanawi

    (Department of Mathematics and General Courses, Prince Sultan University, Riyadh 11586, Saudi Arabia
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    These authors contributed equipollently to this work.)

  • Hassen Aydi

    (Department of Mathematics, College of Education in Jubail, Imam Abdulrahman Bin Faisal University, P.O. Box 12020, Industrial Jubail 31961, Saudi Arabia
    These authors contributed equipollently to this work.)

  • Habes Alsamir

    (Department of Mathematics, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM Bangi, Selangor DE 43600, Malaysia
    These authors contributed equipollently to this work.)

Abstract

In this paper, by characterizing a weak contractive condition based on using C − functions and α − admissible multi-valued mapping of type S , we present some fixed point results for ( α , F ) − admissible multi-valued mappings in the setting of b − metric spaces. Some examples and an application are added in order to show the reliability of our obtained results. Our results amend, unify, and generalize some existing results in the literature. The scientific novelty of our main results is to take new contraction self-mappings in b − metric spaces for multi-valued mappings.

Suggested Citation

  • Haitham Qawaqneh & Mohd Salmi Md Noorani & Wasfi Shatanawi & Hassen Aydi & Habes Alsamir, 2019. "Fixed Point Results for Multi-Valued Contractions in b −Metric Spaces and an Application," Mathematics, MDPI, vol. 7(2), pages 1-13, February.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:132-:d:202464
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/2/132/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/2/132/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dušan Ðukić & Zoran Kadelburg & Stojan Radenović, 2011. "Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-13, December.
    2. Hui-Sheng Ding & Zoran Kadelburg & Erdal Karapınar & Stojan Radenović, 2012. "Common Fixed Points of Weak Contractions in Cone Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, May.
    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. Reny George & Hossam A. Nabwey & Rajagopalan Ramaswamy & Stojan Radenović, 2019. "Some Generalized Contraction Classes and Common Fixed Points in b-Metric Space Endowed with a Graph," Mathematics, MDPI, vol. 7(8), pages 1-19, August.
    2. Jayashree Patil & Basel Hardan & Ahmed A. Hamoud & Amol Bachhav & Homan Emadifar & Afshin Ghanizadeh & Seyyed Ahmad Edalatpanah & Hooshmand Azizi, 2022. "On (η, γ)(f, g)‐Contractions in Extended b‐Metric Spaces," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    3. Quanita Kiran & Mamuna Azhar & Hassen Aydi & Yaé Ulrich Gaba, 2021. "Admissible Hybrid Z‐Contractions in Extended b‐Metric Spaces," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    4. Nabil Mlaiki & Mohamed Hajji & Thabet Abdeljawad, 2020. "A New Extension of the Rectangular b‐Metric Spaces," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    5. Lucas Wangwe, 2022. "Coincidence Fixed‐Point Theorems for p‐Hybrid Contraction Mappings in Gb‐Metric Space with Application," Abstract and Applied Analysis, John Wiley & Sons, vol. 2022(1).
    6. Youssef Errai & El Miloudi Marhrani & Mohamed Aamri, 2021. "Fixed Point Theorems for (α, k, θ, φ)‐Contraction Multivalued Mappings in b‐Metric Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).

    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. A. Razani & V. Parvaneh, 2012. "Coupled Coincidence Point Results for (ψ, α, β)‐Weak Contractions in Partially Ordered Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Shazia Kanwal & Rehmatullah Madni & Muhammad Arshad & Muhammad Nazam & Aftab Hussain & Asim Asiri, 2025. "Exploring Fuzzy Fixed Points of γ‐Fuzzy Contractions in b‐Metric Spaces," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    3. Preeti Kaushik & Sanjay Kumar & Kenan Tas, 2017. "A New Class of Contraction in b‐Metric Spaces and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2017(1).
    4. J. R. Morales & E. M. Rojas, 2012. "Some Generalizations of Jungck's Fixed Point Theorem," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-19, November.
    5. Nawab Hussain & Zoran Kadelburg & Stojan Radenović & Falleh Al-Solamy, 2012. "Comparison Functions and Fixed Point Results in Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    6. Farzaneh Zabihi & Abdolrahman Razani, 2014. "Fixed Point Theorems for Hybrid Rational Geraghty Contractive Mappings in Ordered b‐Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    7. Mihai Turinici, 2013. "Functional Contractive Maps in Triangular Symmetric Spaces," Journal of Mathematics, Hindawi, vol. 2013, pages 1-6, March.
    8. Savita Rathee & Anshuka Kadyan & Anil Kumar & Kenan Tas, 2022. "Fixed Point Results for Cirić and Almost Contractions in Convex b -Metric Spaces," Mathematics, MDPI, vol. 10(3), pages 1-21, January.
    9. Debashis Dey & Amit Kumar Laha & Mantu Saha, 2013. "Approximate Coincidence Point of Two Nonlinear Mappings," Journal of Mathematics, Hindawi, vol. 2013, pages 1-4, March.
    10. Zorana Golubović & Zoran Kadelburg & Stojan Radenović, 2012. "Coupled Coincidence Points of Mappings in Ordered Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    11. Sunny Chauhan & Zoran Kadelburg & Sumitra Dalal, 2013. "A Common Fixed Point Theorem in Metric Space under General Contractive Condition," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    12. Nabil Mlaiki & Mohamed Hajji & Thabet Abdeljawad, 2020. "A New Extension of the Rectangular b‐Metric Spaces," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    13. Ahmed Al-Rawashdeh & Wasfi Shatanawi & Muna Khandaqji, 2012. "Normed Ordered and ð ¸ -Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-11, May.
    14. Ing-Jer Lin & Chi-Ming Chen & Mirko Jovanović & Tzi-Huei Wu, 2012. "Fixed Points and Endpoints of Set‐Valued Contractions in Cone Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    15. Abd Ghafur Bin Ahmad & Zaid Mohammed Fadail & Vesna Ćojbašić Rajić & Stojan Radenović, 2012. "Nonlinear Contractions in 0‐Complete Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:2:p:132-:d:202464. 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 The email address of this maintainer does not seem to be valid anymore. Please ask MDPI Indexing Manager to update the entry or send us the correct address (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.