IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2022y2022i1n1139731.html

Best Proximity Points of Multivalued Hardy‐Roger’s Type (Cyclic) Contractive Mappings of b‐Metric Spaces

Author

Listed:
  • Basit Ali
  • Arshad Ali Khan
  • Azhar Hussain

Abstract

In this article, we introduce a new type of generalized multivalued Hardy and Roger’s type proximal contractive and proximal cyclic contractive mappings of b‐metric spaces and develop some results for the existence of best proximity point(s). Moreover, we obtain some results for the existence and uniqueness of best proximity points for single‐valued mappings. Examples are given to explain the main results.

Suggested Citation

  • Basit Ali & Arshad Ali Khan & Azhar Hussain, 2022. "Best Proximity Points of Multivalued Hardy‐Roger’s Type (Cyclic) Contractive Mappings of b‐Metric Spaces," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:1139731
    DOI: 10.1155/2022/1139731
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/1139731
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/1139731?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Ravi P. Agarwal & Nawab Hussain & Mohamed-Aziz Taoudi, 2012. "Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, July.
    2. Ravi P. Agarwal & Nawab Hussain & Mohamed-Aziz Taoudi, 2012. "Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    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. N. Hussain & M. A. Kutbi & P. Salimi, 2014. "Fixed Point Theory in α‐Complete Metric Spaces with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. N. Hussain & M. A. Kutbi & S. Khaleghizadeh & P. Salimi, 2014. "Discussions on Recent Results for α‐ψ‐Contractive Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. N. Hussain & S. Al-Mezel & P. Salimi, 2013. "Fixed Points for ψ‐Graphic Contractions with Application to Integral Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Awad A. Bakery & OM Kalthum S. K. Mohamed, 2022. "Nonexpansive Mappings on New Premodular Special Space of Sequences," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    5. N. Hussain & M. A. Kutbi & P. Salimi, 2013. "Best Proximity Point Results for Modified α‐ψ‐Proximal Rational Contractions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. N. Hussain & S. Khaleghizadeh & P. Salimi & F. Akbar, 2013. "New Fixed Point Results with PPF Dependence in Banach Spaces Endowed with a Graph," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    7. Mohamed M. A. Metwali & Manochehr Kazemi & Shami A. M. Alsallami, 2025. "On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    8. Hasanen A. Hammad & Manuel De la Sen, 2019. "PPF-Dependent Fixed Point Results for New Multi-Valued Generalized F -Contraction in the Razumikhin Class with an Application," Mathematics, MDPI, vol. 7(1), pages 1-16, January.
    9. Mohadeshe Paknazar & Manuel De la Sen, 2017. "Best Proximity Point Results in Non-Archimedean Modular Metric Space," Mathematics, MDPI, vol. 5(2), pages 1-20, April.
    10. Hussain, Nawab & Kutbi, M.A. & Salimi, Peyman, 2020. "Global optimal solutions for proximal fuzzy contractions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    11. Hamed H Al-Sulami & Jamshaid Ahmad & Nawab Hussain & Abdul Latif, 2019. "Solutions to Fredholm Integral Inclusions via Generalized Fuzzy Contractions," Mathematics, MDPI, vol. 7(9), pages 1-19, September.
    12. Hasanen A. Hammad & Amal A. Khalil, 2020. "The Technique of Quadruple Fixed Points for Solving Functional Integral Equations under a Measure of Noncompactness," Mathematics, MDPI, vol. 8(12), pages 1-21, November.
    13. Deepmala, 2014. "Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-9, April.
    14. Angamuthu Muraliraj & Ravichandran Thangathamizh & Nikola Popovic & Ana Savic & Stojan Radenovic, 2023. "The First Rational Type Revised Fuzzy-Contractions in Revised Fuzzy Metric Spaces with an Applications," Mathematics, MDPI, vol. 11(10), pages 1-11, May.
    15. Shamoona Jabeen & Zhiming Zheng & Mutti-Ur Rehman & Wei Wei & Jehad Alzabut, 2021. "Some Fixed Point Results of Weak-Fuzzy Graphical Contraction Mappings with Application to Integral Equations," Mathematics, MDPI, vol. 9(5), pages 1-14, March.
    16. Hasanen Abuelmagd Hammad & Manuel De la Sen, 2019. "A Coupled Fixed Point Technique for Solving Coupled Systems of Functional and Nonlinear Integral Equations," Mathematics, MDPI, vol. 7(7), pages 1-18, July.
    17. Yeol Je Cho & Shin Min Kang & Peyman Salimi, 2018. "Some PPF Dependent Fixed Point Theorems for Generalized α - F -Contractions in Banach Spaces and Applications," Mathematics, MDPI, vol. 6(11), pages 1-19, November.

    More about this item

    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:wly:jjmath:v:2022:y:2022:i:1:n:1139731. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    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.