caa a22 4500 475769589 CHVBK 20180406123616.0 cr unu---uuuuu 170329e20000601xx s 000 0 eng 10.1007/PL00011377 doi (NATIONALLICENCE)springer-10.1007/PL00011377 Auslender A. Laboratoire d'Econométrie, Ecole Polytechnique, 1 rue Descartes, 75005 Paris, France, e-mail: auslen@poly.polytechnique.fr, FR aut Existence of optimal solutions and duality results under weak conditions [Elektronische Daten] [A. Auslender] Abstract. : In this paper we consider an ordinary convex program with no qualification conditions (such as Slater's condition) and for which the optimal set is neither required to be compact, nor to be equal to the sum of a compact set and a linear space. It is supposed only that the infimum α is finite. A very wide class of convex functions is exhibited for which the optimum is always attained and α is equal to the supremum of the ordinary dual program. Additional results concerning the existence of optimal solutions in the non convex case are also given. Springer-Verlag Berlin Heidelberg, 2000 Key words: convex programming - existence of optimal solutions - duality - convex analysis nationallicence https://doi.org/10.1007/PL00011377 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00011377 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Auslender A. Laboratoire d'Econométrie, Ecole Polytechnique, 1 rue Descartes, 75005 Paris, France, e-mail: auslen@poly.polytechnique.fr, FR aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer