IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/354846.html
   My bibliography  Save this article

A -Statistical Cluster Points in Finite Dimensional Spaces and Application to Turnpike Theorem

Author

Listed:
  • Pratulananda Das
  • Sudipta Dutta
  • S. A. Mohiuddine
  • Abdullah Alotaibi

Abstract

In the first part of the paper, following the works of Pehlivan et al. (2004), we study the set of all A -statistical cluster points of sequences in m -dimensional spaces and make certain investigations on the set of all A -statistical cluster points of sequences in m -dimensional spaces. In the second part of the paper, we apply this notion to study an asymptotic behaviour of optimal paths and optimal controls in the problem of optimal control in discrete time and prove a general version of turnpike theorem in line of the work of Mamedov and Pehlivan (2000). However, all results of this section are presented in terms of a more general notion of -cluster points.

Suggested Citation

  • Pratulananda Das & Sudipta Dutta & S. A. Mohiuddine & Abdullah Alotaibi, 2014. "A -Statistical Cluster Points in Finite Dimensional Spaces and Application to Turnpike Theorem," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, January.
    • Handle: RePEc:hin:jnlaaa:354846
    DOI: 10.1155/2014/354846
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/354846.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/354846.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/354846?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:jnlaaa:354846. 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.