IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i4p492-d340105.html
   My bibliography  Save this article

Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem

Author

Listed:
  • Babak Mohammadi

    (Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran)

  • Ali Asghar Shole Haghighi

    (Department of Mathematics, Payame Noor University, Tehran, Iran)

  • Maryam Khorshidi

    (Department of Mathematics, Firouzabad Institute of Higher Education, Firouzabad, Fars, Iran)

  • Manuel De la Sen

    (Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Spain)

  • Vahid Parvaneh

    (Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran)

Abstract

In this paper, an extension of Darbo’s fixed point theorem via θ - F -contractions in a Banach space has been presented. Measure of noncompactness approach is the main tool in the presentation of our proofs. As an application, we study the existence of solutions for a system of integral equations. Finally, we present a concrete example to support the effectiveness of our results.

Suggested Citation

  • Babak Mohammadi & Ali Asghar Shole Haghighi & Maryam Khorshidi & Manuel De la Sen & Vahid Parvaneh, 2020. "Existence of Solutions for a System of Integral Equations Using a Generalization of Darbo’s Fixed Point Theorem," Mathematics, MDPI, vol. 8(4), pages 1-11, April.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:4:p:492-:d:340105
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/4/492/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/4/492/
    Download Restriction: no
    ---><---

    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:8:y:2020:i:4:p:492-:d:340105. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.