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

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

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

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

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

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

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

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

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

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 Journal of Convex Analysis - A characterization of convex and semicoercive functionals

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