Dedieu, Jean-Pierre Cônes asymptotes d’ensembles non convexes. (French) Zbl 0433.46005 Bull. Soc. Math. Fr., Suppl., Mém. 60 (Proc. Colloq., Pau 1977), 31-44 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 10 Documents MSC: 46A40 Ordered topological linear spaces, vector lattices 46A55 Convex sets in topological linear spaces; Choquet theory 52A07 Convex sets in topological vector spaces (aspects of convex geometry) Keywords:asymptotic cone; closed convex subset; rayonnants; minimization problems with non convex constraints Citations:Zbl 0145.377; Zbl 0131.114; Zbl 0228.46004 PDFBibTeX XMLCite \textit{J.-P. Dedieu}, Bull. Soc. Math. Fr., Suppl., Mém. 60, 31--44 (1979; Zbl 0433.46005) Full Text: Numdam EuDML References: [1] - M. ATTEIA . Fonctions spline définies sur un ensemble convexe . Num. Math. 12 ( 1968 ) p. 192-210. MR 41 #2265 | Zbl 0186.45202 · Zbl 0186.45202 · doi:10.1007/BF02162912 [2] - J. BAIR . Cones asymptotes et cônes caractéristiques. Bulletin de la société royale des sciences de Liège n^\circ 9-10, 1971 , p. 428. MR 45 #9098 | Zbl 0228.46004 · Zbl 0228.46004 [3] - N. BOURBAKI . Espaces vectoriels topologiques . Hermann, Paris ( 1966 ). Zbl 0145.37702 · Zbl 0145.37702 [4] - G. CHOQUET . Ensembles et cônes faiblement complets . CRAS - 254 ( 1962 ) p. 1908-1910. MR 24 #A2218 | Zbl 0107.08801 · Zbl 0107.08801 [5] - J. DIEUDONNE . Sur la séparation des ensembles convexes . Math. Annalen 163, 1966 , p. 1-3. MR 33 #3071 | Zbl 0131.11401 · Zbl 0131.11401 · doi:10.1007/BF02052480 [6] - J.P. DEDIEU . Etude d’un point de vue projectif des fonctionnelles convexes . Thèse 3ème cycle - Toulouse. [7] - S.D. FISHER et J.W. JEROME . Minimum norm extremal in fonction spaces - Lectures Notes in Math. N^\circ 479. Zbl 0307.41027 · Zbl 0307.41027 · doi:10.1007/BFb0097059 [8] - J.L. JOLY . Une famille de topologies et de convergences sur l’ensemble des fonctionnelles convexes . Thèse - Grenoble. · Zbl 0282.46005 [9] - P.J. LAURENT . Approximation et Optimisation . Hermann, Paris ( 1972 ). MR 57 #6947 | Zbl 0238.90058 · Zbl 0238.90058 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.