IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v111y2001i1d10.1023_a1017531600410.html
   My bibliography  Save this article

Existence and Density Results for Proper Efficiency in Cone Compact Sets

Author

Listed:
  • X. D. H. Truong

    (Hanoi Institute of Mathematics)

Abstract

Existence and density results are established for positive proper efficient points, Henig proper efficient points, and superefficient points in cone compact sets.

Suggested Citation

  • X. D. H. Truong, 2001. "Existence and Density Results for Proper Efficiency in Cone Compact Sets," Journal of Optimization Theory and Applications, Springer, vol. 111(1), pages 173-194, October.
    • Handle: RePEc:spr:joptap:v:111:y:2001:i:1:d:10.1023_a:1017531600410
    DOI: 10.1023/A:1017531600410
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1017531600410
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1017531600410?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. X. Y. Zheng, 1997. "Proper Efficiency in Locally Convex Topological Vector Spaces," Journal of Optimization Theory and Applications, Springer, vol. 94(2), pages 469-486, August.
    2. W. Song, 1997. "Generalization of the Arrow–Barankin–Blackwell Theorem in a Dual Space Setting," Journal of Optimization Theory and Applications, Springer, vol. 95(1), pages 225-230, October.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Alexander Engau, 2017. "Proper Efficiency and Tradeoffs in Multiple Criteria and Stochastic Optimization," Mathematics of Operations Research, INFORMS, vol. 42(1), pages 119-134, January.
    2. Miglierina Enrico, 2002. "Set-convergence of convex sets and stability in vector optimization," Economics and Quantitative Methods qf0220, Department of Economics, University of Insubria.

    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. E. K. Makarov & N. N. Rachkovski, 1999. "Unified Representation of Proper Efficiency by Means of Dilating Cones," Journal of Optimization Theory and Applications, Springer, vol. 101(1), pages 141-165, April.
    2. Fernando García-Castaño & Miguel Ángel Melguizo-Padial & G. Parzanese, 2023. "Sublinear scalarizations for proper and approximate proper efficient points in nonconvex vector optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 97(3), pages 367-382, June.
    3. J. H. Qiu & Y. Hao, 2010. "Scalarization of Henig Properly Efficient Points in Locally Convex Spaces," Journal of Optimization Theory and Applications, Springer, vol. 147(1), pages 71-92, October.
    4. J. H. Qiu, 2007. "Superefficiency in Local Convex Spaces," Journal of Optimization Theory and Applications, Springer, vol. 135(1), pages 19-35, October.
    5. L. Huerga & B. Jiménez & V. Novo, 2022. "New Notions of Proper Efficiency in Set Optimization with the Set Criterion," Journal of Optimization Theory and Applications, Springer, vol. 195(3), pages 878-902, December.
    6. Zhi-Ang Zhou & Xin-Min Yang, 2014. "Scalarization of $$\epsilon $$ ϵ -Super Efficient Solutions of Set-Valued Optimization Problems in Real Ordered Linear Spaces," Journal of Optimization Theory and Applications, Springer, vol. 162(2), pages 680-693, August.
    7. Angelo Guerraggio & Dinh The Luc, 2006. "Properly Maximal Points in Product Spaces," Mathematics of Operations Research, INFORMS, vol. 31(2), pages 305-315, May.
    8. Q. S. Qiu & X. M. Yang, 2012. "Connectedness of Henig Weakly Efficient Solution Set for Set-Valued Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 152(2), pages 439-449, February.
    9. L. Y. Xia & J. H. Qiu, 2008. "Superefficiency in Vector Optimization with Nearly Subconvexlike Set-Valued Maps," Journal of Optimization Theory and Applications, Springer, vol. 136(1), pages 125-137, January.
    10. Y. D. Hu & C. Ling, 2000. "Connectedness of Cone Superefficient Point Sets in Locally Convex Topological Vector Spaces," Journal of Optimization Theory and Applications, Springer, vol. 107(2), pages 433-446, November.
    11. M. Zarepisheh & E. Khorram, 2011. "On the transformation of lexicographic nonlinear multiobjective programs to single objective programs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(2), pages 217-231, October.
    12. K. F. Ng & X. Y. Zheng, 2003. "On the Density of Positive Proper Efficient Points in a Normed Space," Journal of Optimization Theory and Applications, Springer, vol. 119(1), pages 105-122, October.

    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:spr:joptap:v:111:y:2001:i:1:d:10.1023_a:1017531600410. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.