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Article Dans Une Revue Journal of Global Optimization Année : 2004

Well-positioned Closed Convex Sets and Well-positioned Closed Convex Functions

Résumé

We characterize the class of those closed convex sets which have a barrier cone with a nonempty interior. As a consequence, we describe the set of those proper extended-real-valued functionals for which the domain of their Fenchel conjugate has a nonempty interior. As an application, we study the stability of the solution set of a semi-coercive variational inequality.
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Dates et versions

hal-00068258 , version 1 (18-10-2017)

Identifiants

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Samir Adly, Emil Ernst, Michel Théra. Well-positioned Closed Convex Sets and Well-positioned Closed Convex Functions. Journal of Global Optimization, 2004, 29 (4), pp.337-351. ⟨10.1023/B:JOGO.0000047907.66385.5d⟩. ⟨hal-00068258⟩
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