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Well-positioned Closed Convex Sets and Well-positioned Closed Convex Functions |
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| Authors: | Samir Adly Emil Ernst Michel Théra |
| Institution: | (1) LACO, Université de Limoges, 123 Avenue A. Thomas, 87060 Limoges Cedex, France e-mail;(2) Laboratoire de Modelisation en Mécanique et Thermodynamique (LMMT), Casse 322, Faculté de Sciences et Techniques de Saint Jérôme, Avenue Escadrille Normandie-Niemen 13397, Marseille, Cedex 20 e-mail |
| Abstract: | 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. |
| Keywords: | barrier cone convex analysis Fenchel conjugate recession analysis semi-coercive functional support functional variational inequality |
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