Gradients of convex functions

Gradients of convex functions
HTML articles powered by AMS MathViewer

Trans. Amer. Math. Soc. 139 (1969), 443-467

DOI: https://doi.org/10.1090/S0002-9947-1969-0240621-X

PDF | Request permission

References

Edgar Asplund, Averaged norms, Israel J. Math. 5 (1967), 227–233. MR 222610, DOI 10.1007/BF02771611
Edgar Asplund, Fréchet differentiability of convex functions, Acta Math. 121 (1968), 31–47. MR 231199, DOI 10.1007/BF02391908

Espaces vectoriels topologiques

Arne Brøndsted, Conjugate convex functions in topological vector spaces, Mat.-Fys. Medd. Danske Vid. Selsk. 34 (1964), no. 2, 27 pp. (1964). MR 166580
A. Brøndsted and R. T. Rockafellar, On the subdifferentiability of convex functions, Proc. Amer. Math. Soc. 16 (1965), 605–611. MR 178103, DOI 10.1090/S0002-9939-1965-0178103-8
Dennis F. Cudia, The geometry of Banach spaces. Smoothness, Trans. Amer. Math. Soc. 110 (1964), 284–314. MR 163143, DOI 10.1090/S0002-9947-1964-0163143-9

Sur la fonction d’appui des ensembles convexes dans une espace localement convexe

3

V. L. Klee Jr., Invariant metrics in groups (solution of a problem of Banach), Proc. Amer. Math. Soc. 3 (1952), 484–487. MR 47250, DOI 10.1090/S0002-9939-1952-0047250-4
Christian Lescarret, Applications “prox” dans un espace de Banach, C. R. Acad. Sci. Paris Sér. A-B 265 (1967), A676–A678 (French). MR 230111
Jean-Jacques Moreau, Sur la fonction polaire d’une fonction semi-continue supérieurement, C. R. Acad. Sci. Paris 258 (1964), 1128–1130 (French). MR 160093

Sous-differentiabilité

Jean-Jacques Moreau, Semi-continuité du sous-gradient d’une fonctionnelle, C. R. Acad. Sci. Paris 260 (1965), 1067–1070 (French). MR 173936

Fonctionelles convexes

R. T. Rockafellar, Level sets and continuity of conjugate convex functions, Trans. Amer. Math. Soc. 123 (1966), 46–63. MR 192318, DOI 10.1090/S0002-9947-1966-0192318-X
R. T. Rockafellar, Characterization of the subdifferentials of convex functions, Pacific J. Math. 17 (1966), 497–510. MR 193549, DOI 10.2140/pjm.1966.17.497
R. T. Rockafellar, Conjugates and Legendre transforms of convex functions, Canadian J. Math. 19 (1967), 200–205. MR 213496, DOI 10.4153/CJM-1967-012-4

Convex analysis

Đinh Thế Lục, On the maximal monotonicity of subdifferentials, Acta Math. Vietnam. 18 (1993), no. 1, 99–106. MR 1248886
V. Šmulian, Sur la dérivabilité de la norme dans l’espace de Banach, C. R. (Doklady) Acad. Sci. URSS (N.S.) 27 (1940), 643–648 (French). MR 0002704