Fréchet differentiability, strict differentiability and subdifferentiability
Czechoslovak Mathematical Journal, Tome 41 (1991) no. 3, pp. 471-489
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DOI : 10.21136/CMJ.1991.102482
Classification : 26E15, 46G05, 49J50, 58C20
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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

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