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Are dualities appropriate for duality theories in optimization?

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  • Jean-Paul Penot

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  • Jean-Paul Penot, 2010. "Are dualities appropriate for duality theories in optimization?," Journal of Global Optimization, Springer, vol. 47(3), pages 503-525, July.
    • Handle: RePEc:spr:jglopt:v:47:y:2010:i:3:p:503-525
    DOI: 10.1007/s10898-009-9478-z
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    References listed on IDEAS

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    1. TIND, Jorgen & WOLSEY, Laurence A., 1981. "An elementary survey of general duality theory in mathematical programming," LIDAM Reprints CORE 474, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. 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.
    3. Jean-Paul Penot & Michel Volle, 1990. "On Quasi-Convex Duality," Mathematics of Operations Research, INFORMS, vol. 15(4), pages 597-625, November.
    4. Jean-Paul Penot, 2005. "Unilateral Analysis and Duality," Springer Books, in: Charles Audet & Pierre Hansen & Gilles Savard (ed.), Essays and Surveys in Global Optimization, chapter 0, pages 1-37, Springer.
    5. J.-P. Penot, 1997. "Multipliers and Generalized Derivatives of Performance Functions," Journal of Optimization Theory and Applications, Springer, vol. 93(3), pages 609-618, June.
    6. C. J. Goh & X. Q. Yang, 2001. "Nonlinear Lagrangian Theory for Nonconvex Optimization," Journal of Optimization Theory and Applications, Springer, vol. 109(1), pages 99-121, April.
    7. A. M. Rubinov & X. X. Huang & X. Q. Yang, 2002. "The Zero Duality Gap Property and Lower Semicontinuity of the Perturbation Function," Mathematics of Operations Research, INFORMS, vol. 27(4), pages 775-791, November.
    8. Alberto Zaffaroni, 2004. "Is every radiant function the sum of quasiconvex functions?," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 59(2), pages 221-233, June.
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    Cited by:

    1. S. Li & C. Liao, 2012. "Second-order differentiability of generalized perturbation maps," Journal of Global Optimization, Springer, vol. 52(2), pages 243-252, February.

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