Fréchet differentiability, strict differentiability and subdifferentiability
Zajíček, Luděk
Czechoslovak Mathematical Journal, Tome 41 (1991), p. 471-489 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1991-01-01
Classification:  26E15,  46G05,  49J50,  58C20 
@article{102482,
     author = {Lud\v ek Zaj\'\i \v cek},
     title = {Fr\'echet differentiability, strict differentiability and subdifferentiability},
     journal = {Czechoslovak Mathematical Journal},
     volume = {41},
     year = {1991},
     pages = {471-489},
     zbl = {0760.46038},
     mrnumber = {1117801},
     language = {en},
     url = {http://dml.mathdoc.fr/item/102482}
}

Zajíček, Luděk. Fréchet differentiability, strict differentiability and subdifferentiability. Czechoslovak Mathematical Journal, Tome 41 (1991) pp. 471-489. http://gdmltest.u-ga.fr/item/102482/

V. I. Bogačev; S. A. Škarin On differentiable and Lipschitz mappings between Banach spaces, (in Russian), Matem. Zametki 44 (1988), 567-583. (1988) | MR 0980578

J. M. Borwein; D. Preiss A smooth variational principle with applications to sub-differentiability and to differentiability of convex functions, Trans. Amer. Math. Soc. 303 (1987), 517-527. (1987) | Article | MR 0902782

N. Bourbaki Eléments de Mathématique, Variétés différentielles et analytiques, Paris 1967, 1971. (1967)

H. Cartan Calcul différentiel, Formes différentielles, Paris 1967. (1967) | MR 0223194

M. Fabian; N. V. Zhivkov A characterization of Asplund spaces with the help of local $\epsilon$-supports of Ekeland and Lebourg, C. R. Acad. Bulgare Sci. 38 (1985), 671 - 674. (1985) | MR 0805439 | Zbl 0577.46012

S. Fitzpatrick Separably related sets and the Radon-Nikodým property, Illinois J. Math. 29 (1985), 229-247. (1985) | MR 0784521 | Zbl 0546.46009

J. R. Giles On the characterization of Asplund spaces, J. Austral. Math. Soc. (Series A) 32 (1982), 134-144. (1982) | Article | MR 0643437

P. S. Kenderov Monotone operations in Asplund spaces, C. R. Acad. Bulgare Sci. 30 (1977), 963-964. (1977) | MR 0463981

K. Kuratowski Topology, Vol. I, New York, 1966. (1966) | MR 0217751 | Zbl 0158.40901

A. Nijenhuis Strong derivatives and inverse mapping, Amer. Math. Monthly 81 (1974), 969-980. (1974) | Article | MR 0360958

R. R. Phelps Convex functions, monotone operators and differentiability, Lect. Notes in Math. 1364, Springer-Verlag, 1989. (1989) | MR 0984602 | Zbl 0658.46035

D. Preiss Gateaux differentiable functions are somewhere Frechet differentiable, Rend. Circ. Mat. di Palermo, Ser. II, 33 (1984), 122-133. (1984) | MR 0743214 | Zbl 0573.46024

R. T. Rockafellar The theory of subgradients and its applications to problems of optimization, Heldermann, Berlin, 1981. (1981) | MR 0623763 | Zbl 0462.90052

L. Veselý; L. Zajíček Delta-convex mappings between Banach spaces and applications, Dissertationes Mathematicae 289, Warszawa 1989, 48 pp. (1989) | MR 1016045

L. Zajíček A generalization of an Ekeland-Lebourg theorem and the differentiability of distance functions, Proc. 11th Winter School, Suppl. Rend. Circ. Mat. di Palermo, Ser. II, nr. 3 (1984), 403-410. (1984) | MR 0744405

L. Zajíček Strict differentiability via differentiability, Acta Univ. Carolinae 28 (1987), 157-159. (1987) | MR 0932752