Abstract
We introduce a new way of getting duality theories for quasiconvex problems. As in [13] it strongly relies on the use of a class K of nondecreasing functions. However the regularization process yielding the duality is taken with respect to a class of shifted K-linear functionals rather than with respect to a class of K-affine functionals as in [13]. A concept of subdifferential can be associated with the conjugation defined here; it can be used in connection with a notion of dual problem naturally associated with a primal problem or rather a perturbation of the primal problem.
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© 1988 Birkhäuser Verlag Basel
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Penot, J.P., Volle, M. (1988). Another duality scheme for Quasiconvex Problems. In: Hoffmann, KH., Zowe, J., Hiriart-Urruty, JB., Lemarechal, C. (eds) Trends in Mathematical Optimization. International Series of Numerical Mathematics/Internationale Schriftenreihe zur Numerischen Mathematik/Série internationale d’Analyse numérique, vol 84. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9297-1_17
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DOI: https://doi.org/10.1007/978-3-0348-9297-1_17
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