On Quasi-Convex Duality

Jean-Paul Penot
Jean-Paul Penot
Laboratoire de Mathematiques Appliquees, Faculte des Sciences, Avenue de L'Universite 64000 Pau, France
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,
Michel Volle
Michel Volle
Department de Mathematiques, Universite D'Avignon, 33, Rue Louis Pasteur, 84000 Avignon, France
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Jean-Paul Penot

Laboratoire de Mathematiques Appliquees, Faculte des Sciences, Avenue de L'Universite 64000 Pau, France

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Michel Volle

Department de Mathematiques, Universite D'Avignon, 33, Rue Louis Pasteur, 84000 Avignon, France

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Published Online:1 Nov 1990https://doi.org/10.1287/moor.15.4.597

Abstract

The familiar Fenchel-Moreau-Rockafellar duality scheme deduced from a conjugation is shown to be applicable to quasi-convex problems. Here quasi-affine functions take the place of affine functions. The links with other quasi-convex dualities are examined.

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cover image Mathematics of Operations Research

Volume 15, Issue 4

November 1990

Pages 573-793

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Published Online:November 01, 1990

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Jean-Paul Penot, Michel Volle, (1990) On Quasi-Convex Duality. Mathematics of Operations Research 15(4):597-625.

https://doi.org/10.1287/moor.15.4.597

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On Quasi-Convex Duality

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Volume 15, Issue 4

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