Article Dans Une Revue Journal of Convex Analysis Année : 2016

Zero Duality Gap and Attainment with Possibly Non-Convex Data

Résumé

A newly defined notion of convex closedness regarding a set is used in order to state a necessary and sufficient criterion for the min-sup property in non necessarily convex primal-dual optimization problems, generalizing well-known theorems valid in the convex setting. Our main result is then applied to the classical penalty method.

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Dates et versions

hal-01481759 , version 1 (02-03-2017)

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  • HAL Id : hal-01481759 , version 1

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Emil Ernst, Michel Volle. Zero Duality Gap and Attainment with Possibly Non-Convex Data . Journal of Convex Analysis, 2016, 23 (2), pp.615-629. ⟨hal-01481759⟩
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