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Critical duality
Authors:Jean-Paul Penot
Institution:(1) Laboratoire de Mathèmatiques Appliquèes, Facultè des Sciences, CNRS UMR 5142, BP 1155, 64013 PAU cedex, France
Abstract:We look for a general framework in which the Ekeland duality can be formulated. We propose a scheme in which the parameter sets are provided with a coupling function which induces a conjugacy. The decision spaces are not supposed to have any special structure. We examine several examples. In particular, we consider some special classes of generalized convex functions.
Keywords:Conjugacy  Coupling  Duality  Dual problem  Radiant function  Shady function
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