IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v104y2000i3d10.1023_a1004641726264.html
   My bibliography  Save this article

On Convex Generalized Systems

Author

Listed:
  • G. Mastroeni

    (Universitá di Pisa)

  • T. Rapcsák

    (Hungarian Academy of Sciences)

Abstract

In this paper, the set-convexity and mapping-convexity properties of the extended images of generalized systems are considered. By using these image properties and tools of topological linear spaces, separation schemes ensuring the impossibility of generalized systems are developed. Then, special problem classes are investigated.

Suggested Citation

  • G. Mastroeni & T. Rapcsák, 2000. "On Convex Generalized Systems," Journal of Optimization Theory and Applications, Springer, vol. 104(3), pages 605-627, March.
    • Handle: RePEc:spr:joptap:v:104:y:2000:i:3:d:10.1023_a:1004641726264
    DOI: 10.1023/A:1004641726264
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1004641726264
    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:1004641726264?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. Illés, T. & Kassay, G., 1994. "Farkas type theorems for generalized convexities," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 5(2), pages 225-239.
    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. Shengjie Li & Yangdong Xu & Manxue You & Shengkun Zhu, 2018. "Constrained Extremum Problems and Image Space Analysis–Part I: Optimality Conditions," Journal of Optimization Theory and Applications, Springer, vol. 177(3), pages 609-636, June.
    2. J. Li & L. Yang, 2018. "Set-Valued Systems with Infinite-Dimensional Image and Applications," Journal of Optimization Theory and Applications, Springer, vol. 179(3), pages 868-895, December.
    3. Frenk, J.B.G. & Kassay, G., 2005. "Lagrangian duality and cone convexlike functions," ERIM Report Series Research in Management ERS-2005-019-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    4. J. B. G. Frenk & G. Kassay, 2007. "Lagrangian Duality and Cone Convexlike Functions," Journal of Optimization Theory and Applications, Springer, vol. 134(2), pages 207-222, August.
    5. Jun Li & Giandomenico Mastroeni, 2018. "Refinements on Gap Functions and Optimality Conditions for Vector Quasi-Equilibrium Problems via Image Space Analysis," Journal of Optimization Theory and Applications, Springer, vol. 177(3), pages 696-716, June.

    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. T. Illés & G. Kassay, 1999. "Theorems of the Alternative and Optimality Conditions for Convexlike and General Convexlike Programming," Journal of Optimization Theory and Applications, Springer, vol. 101(2), pages 243-257, May.
    2. R. N. Mukherjee & L. V. Reddy, 1997. "Semicontinuity and Quasiconvex Functions," Journal of Optimization Theory and Applications, Springer, vol. 94(3), pages 715-726, September.
    3. E. Carrizosa & J. B. G. Frenk, 1998. "Dominating Sets for Convex Functions with Some Applications," Journal of Optimization Theory and Applications, Springer, vol. 96(2), pages 281-295, February.
    4. Giorgio Giorgi, 2014. "Again on the Farkas Theorem and the Tucker Key Theorem Proved Easily," DEM Working Papers Series 094, University of Pavia, Department of Economics and Management.
    5. J. B. G. Frenk & G. Kassay, 1999. "On Classes of Generalized Convex Functions, Gordan–Farkas Type Theorems, and Lagrangian Duality," Journal of Optimization Theory and Applications, Springer, vol. 102(2), pages 315-343, August.
    6. Frenk, J. B. G. & Kassay, G. & Kolumban, J., 2004. "On equivalent results in minimax theory," European Journal of Operational Research, Elsevier, vol. 157(1), pages 46-58, August.
    7. Carrizosa, E. & Frenk, J.B.G., 1996. "Dominating Sets for Convex Functions with some Applications," Econometric Institute Research Papers EI 9657-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    8. J.B.G. Frenk & G. Kassay, 1997. "On Classes of Generalized Convex Functions, Farkas-Type Theorems and Lagrangian Duality," Tinbergen Institute Discussion Papers 97-121/4, Tinbergen Institute.

    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:104:y:2000:i:3:d:10.1023_a:1004641726264. 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.