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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
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
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    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.

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