IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/817193.html
   My bibliography  Save this article

Fixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings

Author

Listed:
  • M. De la Sen

Abstract

p ( ≥ 2 ) -cyclic and contractive self-mappings on a set of subsets of a metric space which are simultaneously accretive on the whole metric space are investigated. The joint fulfilment of the p -cyclic contractiveness and accretive properties is formulated as well as potential relationships with cyclic self-mappings in order to be Kannan self-mappings. The existence and uniqueness of best proximity points and fixed points is also investigated as well as some related properties of composed self-mappings from the union of any two adjacent subsets, belonging to the initial set of subsets, to themselves.

Suggested Citation

  • M. De la Sen, 2012. "Fixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-29, April.
    • Handle: RePEc:hin:jnljam:817193
    DOI: 10.1155/2012/817193
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2012/817193.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2012/817193.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/817193?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
    ---><---

    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:jnljam:817193. 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.