IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v157y2004i1p46-58.html
   My bibliography  Save this article

On equivalent results in minimax theory

Author

Listed:
  • Frenk, J. B. G.
  • Kassay, G.
  • Kolumban, J.

Abstract

No abstract is available for this item.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:157:y:2004:i:1:p:46-58
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(03)00515-0
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to

    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.
    2. 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.
    3. J.F.B. Frenk & G. Kassay, 2002. "Minimax Results and Finite-Dimensional Separation," Journal of Optimization Theory and Applications, Springer, vol. 113(2), pages 409-421, May.
    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. Tomás Prieto-Rumeau & José Lorenzo, 2015. "Approximation of zero-sum continuous-time Markov games under the discounted payoff criterion," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 799-836, October.
    2. Fernando Luque-Vásquez & J. Adolfo Minjárez-Sosa & Max E. Mitre-Báez, 2016. "A Note on König and Close Convexity in Minimax Theorems," Journal of Optimization Theory and Applications, Springer, vol. 170(1), pages 65-71, July.
    3. Frenk, J.B.G. & Kassay, G., 2004. "Introduction to Convex and Quasiconvex Analysis," ERIM Report Series Research in Management ERS-2004-075-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. Frenk, J.B.G. & Kassay, G., 2006. "On noncooperative games, minimax theorems and equilibrium problems," Econometric Institute Research Papers EI 2006-21, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    5. Frenk, J.B.G. & Kassay, G., 2005. "On Noncooperative Games and Minimax Theory," ERIM Report Series Research in Management ERS-2005-036-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.
    6. 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.
    7. H. Boualam & A. Roubi, 2019. "Proximal bundle methods based on approximate subgradients for solving Lagrangian duals of minimax fractional programs," Journal of Global Optimization, Springer, vol. 74(2), pages 255-284, June.
    8. Frenk, J.B.G. & Schaible, S., 2004. "Fractional Programming," Econometric Institute Research Papers ERS-2004-074-LIS, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    9. 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.
    10. J. B. G. Frenk & P. Kas & G. Kassay, 2007. "On Linear Programming Duality and Necessary and Sufficient Conditions in Minimax Theory," Journal of Optimization Theory and Applications, Springer, vol. 132(3), pages 423-439, March.
    11. Frenk, J.B.G. & Kassay, G., 2006. "On Noncooperative Games, Minimax Theorems and Equilibrium Problems," ERIM Report Series Research in Management ERS-2006-022-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.
    12. Mingchao Xia & Qingying Lai & Yajiao Zhong & Canbing Li & Hsiao-Dong Chiang, 2016. "Aggregator-Based Interactive Charging Management System for Electric Vehicle Charging," Energies, MDPI, vol. 9(3), pages 1-14, March.
    13. Dimitris Bertsimas & Ebrahim Nasrabadi & Sebastian Stiller, 2013. "Robust and Adaptive Network Flows," Operations Research, INFORMS, vol. 61(5), pages 1218-1242, October.
    14. Frenk, J.B.G. & Schaible, S., 2004. "Fractional Programming," ERIM Report Series Research in Management ERS-2004-074-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.

    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. M. Ruiz Galán, 2016. "A sharp Lagrange multiplier theorem for nonlinear programs," Journal of Global Optimization, Springer, vol. 65(3), pages 513-530, July.
    2. Frenk, J.B.G. & Kassay, G. & Kolumban, J., 2002. "Equivalent Results in Minimax Theory," ERIM Report Series Research in Management ERS-2002-08-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.
    3. 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.
    4. Manh-Hung Nguyen & Do Van Luu, 2006. "On constraint qualifications with generalized convexity and optimality conditions," Post-Print halshs-00113148, HAL.
    5. P. Montiel López & M. Ruiz Galán, 2016. "Nonlinear Programming via König’s Maximum Theorem," Journal of Optimization Theory and Applications, Springer, vol. 170(3), pages 838-852, September.
    6. 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.
    7. P. H. Sach, 2007. "Moreau–Rockafellar Theorems for Nonconvex Set-Valued Maps," Journal of Optimization Theory and Applications, Springer, vol. 133(2), pages 213-227, May.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Do Van Luu & Manh Hung Nguyen, 2006. "On alternative theorems and necessary conditions for efficiency," Cahiers de la Maison des Sciences Economiques b06019, Université Panthéon-Sorbonne (Paris 1).
    13. 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.
    14. Fernando Luque-Vásquez & J. Adolfo Minjárez-Sosa & Max E. Mitre-Báez, 2016. "A Note on König and Close Convexity in Minimax Theorems," Journal of Optimization Theory and Applications, Springer, vol. 170(1), pages 65-71, July.
    15. Adan, M. & Novo, V., 2003. "Weak efficiency in vector optimization using a closure of algebraic type under cone-convexlikeness," European Journal of Operational Research, Elsevier, vol. 149(3), pages 641-653, September.
    16. 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.
    17. J.B.G. Frenk & G. Kassay & J. Kolumbán, 2002. "Equivalent Results in MinimaxTheory," Tinbergen Institute Discussion Papers 02-009/4, Tinbergen Institute.
    18. G. Mastroeni & T. Rapcsák, 2000. "On Convex Generalized Systems," Journal of Optimization Theory and Applications, Springer, vol. 104(3), pages 605-627, March.
    19. Jiawei Chen & Elisabeth Köbis & Jen-Chih Yao, 2019. "Optimality Conditions and Duality for Robust Nonsmooth Multiobjective Optimization Problems with Constraints," Journal of Optimization Theory and Applications, Springer, vol. 181(2), pages 411-436, May.

    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:eee:ejores:v:157:y:2004:i:1:p:46-58. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.