IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i8p1852-d1122799.html
   My bibliography  Save this article

On the Extended Version of Krasnoselśkiĭ’s Theorem for Kannan-Type Equicontractive Mappings

Author

Listed:
  • Huaping Huang

    (School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, China)

  • Subhadip Pal

    (Department of Mathematics, National Institute of Technology Durgapur, Durgapur 713209, India)

  • Ashis Bera

    (Department of Mathematics, School of Advanced Sciences, VIT Chennai, Chennai 600127, India)

  • Lakshmi Kanta Dey

    (Department of Mathematics, National Institute of Technology Durgapur, Durgapur 713209, India)

Abstract

The purpose of the paper is to establish a sufficient condition for the existence of a solution to the equation T ( u , C ( u ) ) = u using Kannan-type equicontractive mappings, T : A × C ( A ) ¯ → Y , where C is a compact mapping, A is a bounded, closed and convex subset of a Banach space Y . To achieve this objective, the authors have presented Sadovskii’s theorem, which utilizes the measure of noncompactness. The relevance of the obtained results has been illustrated through the consideration of various initial value problems.

Suggested Citation

  • Huaping Huang & Subhadip Pal & Ashis Bera & Lakshmi Kanta Dey, 2023. "On the Extended Version of Krasnoselśkiĭ’s Theorem for Kannan-Type Equicontractive Mappings," Mathematics, MDPI, vol. 11(8), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1852-:d:1122799
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/8/1852/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/8/1852/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Xi Fu & Xiaoyou Liu, 2013. "Existence Results for Fractional Differential Equations with Separated Boundary Conditions and Fractional Impulsive Conditions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, 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.

      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:11:y:2023:i:8:p:1852-:d:1122799. 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.