Publications HAL

2019/10 – Orthogonality in locally convex spaces: two nonlinear generalizations of Neumann’s Lemma Octavian-Emil Ernst

2018/06 Vietnam Journal of Mathematics – Apart Sets and Functions: an Application to the Stability of Penalized Optimization Problems

2017/12 Set-Valued and Variational Analysis – Characterizing Sets of Lower Bounds: a Hidden Convexity Result

2016/01 Journal of Convex Analysis – Zero Duality Gap and Attainment with Possibly Non-Convex Data

2014/12 Journal of Mathematical Analysis and Applications – Generic Hahn–Banach results

2014/12 Journal of Functional Analysis – The image of a closed convex set under a Fredholm operator

2014/01 Optimization – An Approxiamate Hahn-Banach Theorem for positively homogeneous functions.

2013/11 Positivity – Generalized Courant–Beltrami penalty functions and zero duality gap for conic convex programs

2013/10 Proceedings of the American Mathematical Society – A converse of the Gale-Klee-Rockafellar theorem: Continuity of convex functions at the boundary of their domains

2013/09 Journal of Optimization Theory and Applications – Zero Duality Gap for Convex Programs: A Generalization of the Clark–Duffin Theorem

2011/12 – CLOSED MEANS CONTINUOUS IFF POLYHEDRAL: A CONVERSE OF THE GKR THEOREM

2011/11 – CONTINUOUS CONVEX SETS AND ZERO DUALITY GAP FOR CONVEX PROGRAMS

2011/10 – ZERO DUALITY GAP FOR CONVEX PROGRAMS: A GENERAL RESULT

2010/01 Set-Valued and Variational Analysis – Minimizing Irregular Convex Functions: Ulam Stability for Approximate Minima

2009/10 Journal of Convex Analysis – When is a convex cone the cone of all the half-lines contained in a convex set?

2009/01 Mathematical Programming – On the necessity of the Moreau-Rockafellar-Robinson qualification condition in Banach spaces

2009/01 ESAIM: Control, Optimisation and Calculus of Variations – A converse to the Lions-Stampacchia Theorem

2008/05 Set-Valued Analysis – Slice-continuous sets in reflexive Banach spaces: some complements

2007/09 SIAM Journal on Optimization – Boundary Half-Strips and the Strong CHIP

2007/01 Optimization – Optimal boundedness criteria for extended-real-valued functions

2006/01 Journal of Convex Analysis – Global maximum of a convex function: necessary and sufficient conditions

2006/01 – Stability in frictional unilateral elasticity revisited: an application of the theory of semi-coercive variational inequalities

2005/01 – Continuous sets and non-attaining functionals in reflexive Banach spaces

2005/01 Bulletin des Sciences Mathématiques – A converse to the Eidelheit theorem in real Hilbert spaces

2005/01 Journal of Functional Analysis – Slice-continuous sets in reflexive Banach spaces

2004/01 Proceedings of the American Mathematical Society – Norm Closure of the Barrier Cone in Normed Linear Spaces

2004/01 Journal of Global Optimization – Well-positioned Closed Convex Sets and Well-positioned Closed Convex Functions

2003/01 Journal de Mathématiques Pures et Appliquées – On the closedness of the algebraic difference of closed convex sets

2002/01 Commun. Contemp. Math. – Stability of the solution set of non-coercive variational inequalities

2001/01 Comptes rendus de l’Académie des sciences. Série I, Mathématique – Stabilité de l’ensemble des solutions d’une inéquation variationnelle non coercive

2001/01 Journal of Convex Analysis – A characterization of convex and semicoercive functionals