IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/207502.html
   My bibliography  Save this article

On -Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems

Author

Listed:
  • Ali Farajzadeh
  • Somaye Jafari
  • Chin-Tzong Pang

Abstract

We first introduce the notion of -upper sign property which is an extension of the upper sign property introduced in Castellani and Giuli, 2013, by relaxing convexity on the set. Afterwards, we establish a link between the solution sets of local dual equilibrium problem (Minty local equilibrium problem) and equilibrium problem for mappings whose domains are not necessarily convex by relaxing the upper sign continuity on the map, as it is assumed in the literature (Bianchi and Pini, 2005; Castellani and Giuli, 2013; Farajzadeh and Zafarani, 2010). Accordingly, it allows us to extend and obtain some existence results for equilibrium-like problems.

Suggested Citation

  • Ali Farajzadeh & Somaye Jafari & Chin-Tzong Pang, 2014. "On -Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, March.
    • Handle: RePEc:hin:jnlaaa:207502
    DOI: 10.1155/2014/207502
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/207502.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/207502.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/207502?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:207502. 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.