IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2013y2013i1n218402.html

The Existence and Stability of Solutions for Vector Quasiequilibrium Problems in Topological Order Spaces

Author

Listed:
  • Qi-Qing Song

Abstract

In a topological sup‐semilattice, we established a new existence result for vector quasiequilibrium problems. By the analysis of essential stabilities of maximal elements in a topological sup‐semilattice, we prove that for solutions of each vector quasi‐equilibrium problem, there exists a connected minimal essential set which can resist the perturbation of the vector quasi‐equilibrium problem.

Suggested Citation

  • Qi-Qing Song, 2013. "The Existence and Stability of Solutions for Vector Quasiequilibrium Problems in Topological Order Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:218402
    DOI: 10.1155/2013/218402
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/218402
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/218402?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
    ---><---

    References listed on IDEAS

    as
    1. Yen-Cherng Lin & Po-Jen Cheng & Su-Ling Lee, 2012. "The Convergent Behavior for Parametric Generalized Vector Equilibrium Problems," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, November.
    2. Yen-Cherng Lin & Po-Jen Cheng & Su-Ling Lee, 2012. "The Convergent Behavior for Parametric Generalized Vector Equilibrium Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Horvath, Charles D. & Ciscar, Juan Vicente Llinares, 1996. "Maximal elements and fixed points for binary relations on topological ordered spaces," Journal of Mathematical Economics, Elsevier, vol. 25(3), pages 291-306.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Souhail Chebbi & Pascal Gourdel & Hakim Hammami, 2008. "A generalization of Fan's matching theorem," PSE-Ecole d'économie de Paris (Postprint) hal-00756058, HAL.
    2. Hsien-Chung Wu, 2018. "Near Fixed Point Theorems in Hyperspaces," Mathematics, MDPI, vol. 6(6), pages 1-15, May.
    3. Duggan, John, 2011. "General conditions for the existence of maximal elements via the uncovered set," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 755-759.
    4. Llinarès, Juan Vicente, 1998. "Abstract convexity, some relations and applications," CEPREMAP Working Papers (Couverture Orange) 9803, CEPREMAP.
    5. Souhail Chebbi & Pascal Gourdel & Hakim Hammami, 2006. "A Generalization of Fan's Matching Theorem," Cahiers de la Maison des Sciences Economiques b06060a, Université Panthéon-Sorbonne (Paris 1), revised Jan 2008.
    6. Souhail Chebbi & Pascal Gourdel & Hakim Hammami, 2008. "A generalization of Fan's matching theorem," Post-Print hal-00756058, HAL.

    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:wly:jnljam:v:2013:y:2013:i:1:n:218402. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    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.