Keywords
- Convex Function
- Proper Function
- Cluster Point
- Young Func Tion
- Asymptotic Cone
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Bibliography of Chapter I
ASPLUND, E. ROCKAFELIAR, R.T. gradients of convex functions. Trans. A.M.S. 139(1969) 443–467.
BOURBAKI,-Espaces vectoriels topologiques. Ch. I-II 2ième ed., Ch. III-IV-V 1ère ed.
CASTAING, Ch.-Quelques applications du théorème de Banach Dieudonné. Montpellier 1969–70, Publication No 67.
CHOQUET, G.-Ensembles et cônes faiblement complets. C.R. Acad. Sci. Paris. 254 (1962)-1908–1910.
DIEUDONNE, J.-Sur la séparation des ensembles convexes. Math. Annalen 163 (1966)-1–3.
IOFFE, A.D.-TIHOMIROV (V.M.)-Duality of convex functions and extremum problems. Uspehi Mat. N. 23–6 (1968)-51–116.
IOFFE, A.D.-LEVIN (V.L.)-Subdifferentials of convex functions-Trudi Moskov. Mat. Ob. 26 (1972)-3–73.
JOLY, J.L.-Une famille de topologies et convergences sur l'ensemble des fonctionnelles convexes-Thèse Grenoble 1970.
LESCARRET, C.-Sur la sous-différentiabilité d'une somme de fonctionnelles convexes semi-continues inférieurement. C.R. Acad. Sc. Paris-262 (1966)-443–446.
MEYER, P.A.-Probabilités et potentiel-Hermann Paris 1966.
MOREAU, J.J.-Fonctionnelles convexes. Polycopié Collège de France 1966–67.
ROCKAFELLAR, R.T.-Convex Analysis-Princeton University Press (1970).
VALADIER, M. Contribution a l'Analyse Convexe-Thesis Paris (1970).
WEGMANN, R.-Der Wertebereich von Vektoringegralem. Z. Warschein… 14 (1970)-203–238.
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Castaing, C., Valadier, M. (1977). Convex functions. In: Convex Analysis and Measurable Multifunctions. Lecture Notes in Mathematics, vol 580. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087686
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DOI: https://doi.org/10.1007/BFb0087686
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