Fréchet differentiability, strict differentiability and subdifferentiability

Luděk Zajíček

Czechoslovak Mathematical Journal (1991)

  • Volume: 41, Issue: 3, page 471-489
  • ISSN: 0011-4642

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Zajíček, Luděk. "Fréchet differentiability, strict differentiability and subdifferentiability." Czechoslovak Mathematical Journal 41.3 (1991): 471-489. <http://eudml.org/doc/13946>.

@article{Zajíček1991,
author = {Zajíček, Luděk},
journal = {Czechoslovak Mathematical Journal},
keywords = {points of Fréchet and strict Fréchet differentiability of mappings between Banach spaces; set of first category; subdifferentiability of scalar valued functions; lower semi-continuous function on an Asplund space},
language = {eng},
number = {3},
pages = {471-489},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Fréchet differentiability, strict differentiability and subdifferentiability},
url = {http://eudml.org/doc/13946},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Zajíček, Luděk
TI - Fréchet differentiability, strict differentiability and subdifferentiability
JO - Czechoslovak Mathematical Journal
PY - 1991
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 3
SP - 471
EP - 489
LA - eng
KW - points of Fréchet and strict Fréchet differentiability of mappings between Banach spaces; set of first category; subdifferentiability of scalar valued functions; lower semi-continuous function on an Asplund space
UR - http://eudml.org/doc/13946
ER -

References

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  5. M. Fabian, N. V. Zhivkov, A characterization of Asplund spaces with the help of local ϵ -supports of Ekeland and Lebourg, C. R. Acad. Bulgare Sci. 38 (1985), 671 - 674. (1985) Zbl0577.46012MR0805439
  6. S. Fitzpatrick, 10.1215/ijm/1256045727, Illinois J. Math. 29 (1985), 229-247. (1985) Zbl0546.46009MR0784521DOI10.1215/ijm/1256045727
  7. J. R. Giles, 10.1017/S1446788700024472, J. Austral. Math. Soc. (Series A) 32 (1982), 134-144. (1982) MR0643437DOI10.1017/S1446788700024472
  8. P. S. Kenderov, Monotone operations in Asplund spaces, C. R. Acad. Bulgare Sci. 30 (1977), 963-964. (1977) MR0463981
  9. K. Kuratowski, Topology, Vol. I, New York, 1966. (1966) Zbl0158.40901MR0217751
  10. A. Nijenhuis, 10.1080/00029890.1974.11993706, Amer. Math. Monthly 81 (1974), 969-980. (1974) MR0360958DOI10.1080/00029890.1974.11993706
  11. R. R. Phelps, Convex functions, monotone operators and differentiability, Lect. Notes in Math. 1364, Springer-Verlag, 1989. (1989) Zbl0658.46035MR0984602
  12. D. Preiss, Gateaux differentiable functions are somewhere Frechet differentiable, Rend. Circ. Mat. di Palermo, Ser. II, 33 (1984), 122-133. (1984) Zbl0573.46024MR0743214
  13. R. T. Rockafellar, The theory of subgradients and its applications to problems of optimization, Heldermann, Berlin, 1981. (1981) Zbl0462.90052MR0623763
  14. L. Veselý, L. Zajíček, Delta-convex mappings between Banach spaces and applications, Dissertationes Mathematicae 289, Warszawa 1989, 48 pp. (1989) MR1016045
  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. (1984) MR0744405
  16. L. Zajíček, Strict differentiability via differentiability, Acta Univ. Carolinae 28 (1987), 157-159. (1987) MR0932752

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