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Convex functions

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Convex Analysis and Measurable Multifunctions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 580))

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Bibliography of Chapter I

  1. ASPLUND, E. ROCKAFELIAR, R.T. gradients of convex functions. Trans. A.M.S. 139(1969) 443–467.

    Article  MATH  Google Scholar 

  2. BOURBAKI,-Espaces vectoriels topologiques. Ch. I-II 2ième ed., Ch. III-IV-V 1ère ed.

    Google Scholar 

  3. CASTAING, Ch.-Quelques applications du théorème de Banach Dieudonné. Montpellier 1969–70, Publication No 67.

    Google Scholar 

  4. CHOQUET, G.-Ensembles et cônes faiblement complets. C.R. Acad. Sci. Paris. 254 (1962)-1908–1910.

    MathSciNet  MATH  Google Scholar 

  5. DIEUDONNE, J.-Sur la séparation des ensembles convexes. Math. Annalen 163 (1966)-1–3.

    Article  MathSciNet  Google Scholar 

  6. IOFFE, A.D.-TIHOMIROV (V.M.)-Duality of convex functions and extremum problems. Uspehi Mat. N. 23–6 (1968)-51–116.

    Google Scholar 

  7. IOFFE, A.D.-LEVIN (V.L.)-Subdifferentials of convex functions-Trudi Moskov. Mat. Ob. 26 (1972)-3–73.

    MathSciNet  MATH  Google Scholar 

  8. JOLY, J.L.-Une famille de topologies et convergences sur l'ensemble des fonctionnelles convexes-Thèse Grenoble 1970.

    Google Scholar 

  9. LESCARRET, C.-Sur la sous-différentiabilité d'une somme de fonctionnelles convexes semi-continues inférieurement. C.R. Acad. Sc. Paris-262 (1966)-443–446.

    MathSciNet  MATH  Google Scholar 

  10. MEYER, P.A.-Probabilités et potentiel-Hermann Paris 1966.

    Google Scholar 

  11. MOREAU, J.J.-Fonctionnelles convexes. Polycopié Collège de France 1966–67.

    Google Scholar 

  12. ROCKAFELLAR, R.T.-Convex Analysis-Princeton University Press (1970).

    Google Scholar 

  13. VALADIER, M. Contribution a l'Analyse Convexe-Thesis Paris (1970).

    Google Scholar 

  14. WEGMANN, R.-Der Wertebereich von Vektoringegralem. Z. Warschein… 14 (1970)-203–238.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Université des Sciences et Techniques du Languedoc, Place Eugène Bataillon, 34060, Montpellier Cedex, France

    Charles Castaing & Michel Valadier

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  1. Charles Castaing
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  2. Michel Valadier
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© 1977 Springer-Verlag Berlin · Heidelberg

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08144-9

  • Online ISBN: 978-3-540-37384-1

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