IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/927457.html
   My bibliography  Save this article

Best Proximity Point Results for Modified - -Proximal Rational Contractions

Author

Listed:
  • N. Hussain
  • M. A. Kutbi
  • P. Salimi

Abstract

We first introduce certain new concepts of - -proximal admissible and - - -rational proximal contractions of the first and second kinds. Then we establish certain best proximity point theorems for such rational proximal contractions in metric spaces. As an application, we deduce best proximity and fixed point results in partially ordered metric spaces. The presented results generalize and improve various known results from best proximity point theory. Several interesting consequences of our obtained results are presented in the form of new fixed point theorems which contain famous Banach's contraction principle and some of its generalizations as special cases. Moreover, some examples are given to illustrate the usability of the obtained results.

Suggested Citation

  • N. Hussain & M. A. Kutbi & P. Salimi, 2013. "Best Proximity Point Results for Modified - -Proximal Rational Contractions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-14, August.
    • Handle: RePEc:hin:jnlaaa:927457
    DOI: 10.1155/2013/927457
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2013/927457.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2013/927457.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/927457?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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).

    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:hin:jnlaaa:927457. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.