Concerning a geometrical characterization of Fréchet differentiability
Časopis pro pěstování matematiky, Tome 104 (1979) no. 1, pp. 45-64

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

DOI MR   Zbl

DOI : 10.21136/CPM.1979.117999
Classification : 46G05
Fabián, Marián J. Concerning a geometrical characterization of Fréchet differentiability. Časopis pro pěstování matematiky, Tome 104 (1979) no. 1, pp. 45-64. doi: 10.21136/CPM.1979.117999
@article{10_21136_CPM_1979_117999,
     author = {Fabi\'an, Mari\'an J.},
     title = {Concerning a geometrical characterization of {Fr\'echet} differentiability},
     journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
     pages = {45--64},
     year = {1979},
     volume = {104},
     number = {1},
     doi = {10.21136/CPM.1979.117999},
     mrnumber = {523572},
     zbl = {0393.46035},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1979.117999/}
}
TY  - JOUR
AU  - Fabián, Marián J.
TI  - Concerning a geometrical characterization of Fréchet differentiability
JO  - Časopis pro pěstování matematiky
PY  - 1979
SP  - 45
EP  - 64
VL  - 104
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1979.117999/
DO  - 10.21136/CPM.1979.117999
LA  - en
ID  - 10_21136_CPM_1979_117999
ER  - 
%0 Journal Article
%A Fabián, Marián J.
%T Concerning a geometrical characterization of Fréchet differentiability
%J Časopis pro pěstování matematiky
%D 1979
%P 45-64
%V 104
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1979.117999/
%R 10.21136/CPM.1979.117999
%G en
%F 10_21136_CPM_1979_117999

[1] H. T. Banks M. Q. Jacobs: A differential calculus for multifunctions. J. Math. Anal. Appl. 29 (1970), 246-272. | MR

[2] F. S. de Blasi: On the differentiability of multifunctions. Pacific J. Math. 66 (1976), 67-81. | MR | Zbl

[3] H. Cartan: Calcul differentiel, formes differentielles. Herman, Paris 1967. | MR

[4] J. Daneš J. Durdil: A note on geometric characterization of Frechet differentiability. Comm. Math. Univ. Car. 17 (1976), 195-204. | MR

[5] J. Durdil: On the geometric characterization of differentiability I. Comm. Math. Univ. Car. 15 (1974), 521-540. | MR | Zbl

[6] J. Durdil: On the geometric characterization of differentiability II. Comm. Math. Univ. Car. 15 (1974), 727-744. | MR | Zbl

[7] M. Fabian: Theory of Frechet and Gateaux cones and nonlinear analysis. ÚVT-3/77 technical report.

[8] T. M. Flett: On differentiation in normed vector spaces. J. London Math. Soc. 42 (1967), 523-533. | MR

[9] A. Lasota A. Strauss: Asymptotic behavior for differential equations which cannot be locally linearized. J. Diff. Equations 10 (1971), 152-172. | MR

[10] M. Martelli A. Vignoli: On differentiability of multi-valued maps. Boll. Un. Mat. Ital. 10 (1974), 701-712. | MR

[11] M. Z. Nashed: Differentiability and related properties of nonlinear operators: Some aspects of the role of differentials... in "Nonlinear functional analysis and applications" (ed. by J. B. Rail), New York 1971. | MR

[12] E. L. Roetman: Tangent planes and differentiation. Math. Mag. 43 (1970), 1-7. | MR | Zbl

[13] S. Yamamuro: Differential calculus in topological linear spaces. Lecture notes in mathematics 374, Springer-Verlag Berlin, Heidelberg, New York 1974. | MR | Zbl

Cité par Sources :