@article{10_21136_CMJ_1991_102482,
author = {Zaj{\'\i}\v{c}ek, Lud\v{e}k},
title = {Fr\'echet differentiability, strict differentiability and subdifferentiability},
journal = {Czechoslovak Mathematical Journal},
pages = {471--489},
year = {1991},
volume = {41},
number = {3},
doi = {10.21136/CMJ.1991.102482},
mrnumber = {1117801},
zbl = {0760.46038},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1991.102482/}
}
TY - JOUR AU - Zajíček, Luděk TI - Fréchet differentiability, strict differentiability and subdifferentiability JO - Czechoslovak Mathematical Journal PY - 1991 SP - 471 EP - 489 VL - 41 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1991.102482/ DO - 10.21136/CMJ.1991.102482 LA - en ID - 10_21136_CMJ_1991_102482 ER -
%0 Journal Article %A Zajíček, Luděk %T Fréchet differentiability, strict differentiability and subdifferentiability %J Czechoslovak Mathematical Journal %D 1991 %P 471-489 %V 41 %N 3 %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1991.102482/ %R 10.21136/CMJ.1991.102482 %G en %F 10_21136_CMJ_1991_102482
Zajíček, Luděk. Fréchet differentiability, strict differentiability and subdifferentiability. Czechoslovak Mathematical Journal, Tome 41 (1991) no. 3, pp. 471-489. doi: 10.21136/CMJ.1991.102482
[1] V. I. Bogačev, S. A. Škarin: On differentiable and Lipschitz mappings between Banach spaces. (in Russian), Matem. Zametki 44 (1988), 567-583. | MR
[2] 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. | DOI | MR
[3] N. Bourbaki: Eléments de Mathématique, Variétés différentielles et analytiques. Paris 1967, 1971.
[4] H. Cartan: Calcul différentiel, Formes différentielles. Paris 1967. | MR
[5] 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. | MR | Zbl
[6] S. Fitzpatrick: Separably related sets and the Radon-Nikodým property. Illinois J. Math. 29 (1985), 229-247. | DOI | MR | Zbl
[7] J. R. Giles: On the characterization of Asplund spaces. J. Austral. Math. Soc. (Series A) 32 (1982), 134-144. | DOI | MR
[8] P. S. Kenderov: Monotone operations in Asplund spaces. C. R. Acad. Bulgare Sci. 30 (1977), 963-964. | MR
[9] K. Kuratowski: Topology, Vol. I. New York, 1966. | MR | Zbl
[10] A. Nijenhuis: Strong derivatives and inverse mapping. Amer. Math. Monthly 81 (1974), 969-980. | DOI | MR
[11] R. R. Phelps: Convex functions, monotone operators and differentiability. Lect. Notes in Math. 1364, Springer-Verlag, 1989. | MR | Zbl
[12] D. Preiss: Gateaux differentiable functions are somewhere Frechet differentiable. Rend. Circ. Mat. di Palermo, Ser. II, 33 (1984), 122-133. | MR | Zbl
[13] R. T. Rockafellar: The theory of subgradients and its applications to problems of optimization. Heldermann, Berlin, 1981. | MR | Zbl
[14] L. Veselý, L. Zajíček: Delta-convex mappings between Banach spaces and applications. Dissertationes Mathematicae 289, Warszawa 1989, 48 pp. | MR
[15] 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. | MR
[16] L. Zajíček: Strict differentiability via differentiability. Acta Univ. Carolinae 28 (1987), 157-159. | MR
Cité par Sources :