| Title:
|
Concerning a geometrical characterization of Fréchet differentiability (English) |
| Author:
|
Fabián, Marián J. |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
104 |
| Issue:
|
1 |
| Year:
|
1979 |
| Pages:
|
45-64 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46G05 |
| idZBL:
|
Zbl 0393.46035 |
| idMR:
|
MR523572 |
| DOI:
|
10.21136/CPM.1979.117999 |
| . |
| Date available:
|
2009-09-23T08:57:28Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/117999 |
| . |
| Reference:
|
[1] H. T. Banks M. Q. Jacobs: A differential calculus for multifunctions.J. Math. Anal. Appl. 29 (1970), 246-272. MR 0265937 |
| Reference:
|
[2] F. S. de Blasi: On the differentiability of multifunctions.Pacific J. Math. 66 (1976), 67-81. Zbl 0348.58004, MR 0445534 |
| Reference:
|
[3] H. Cartan: Calcul differentiel, formes differentielles.Herman, Paris 1967. MR 0223194 |
| Reference:
|
[4] J. Daneš J. Durdil: A note on geometric characterization of Frechet differentiability.Comm. Math. Univ. Car. 17 (1976), 195-204. MR 0415663 |
| Reference:
|
[5] J. Durdil: On the geometric characterization of differentiability I..Comm. Math. Univ. Car. 15 (1974), 521-540. Zbl 0289.58004, MR 0426019 |
| Reference:
|
[6] J. Durdil: On the geometric characterization of differentiability II..Comm. Math. Univ. Car. 15 (1974), 727-744. Zbl 0294.58003, MR 0426019 |
| Reference:
|
[7] M. Fabian: Theory of Frechet and Gateaux cones and nonlinear analysis.ÚVT-3/77 technical report. |
| Reference:
|
[8] T. M. Flett: On differentiation in normed vector spaces.J. London Math. Soc. 42 (1967), 523-533. MR 0215093 |
| Reference:
|
[9] A. Lasota A. Strauss: Asymptotic behavior for differential equations which cannot be locally linearized.J. Diff. Equations 10 (1971), 152-172. MR 0277837 |
| Reference:
|
[10] M. Martelli A. Vignoli: On differentiability of multi-valued maps.Boll. Un. Mat. Ital. 10 (1974), 701-712. MR 0370188 |
| Reference:
|
[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 0276840 |
| Reference:
|
[12] E. L. Roetman: Tangent planes and differentiation.Math. Mag. 43 (1970), 1-7. Zbl 0193.01501, MR 0257290 |
| Reference:
|
[13] S. Yamamuro: Differential calculus in topological linear spaces.Lecture notes in mathematics 374, Springer-Verlag Berlin, Heidelberg, New York 1974. Zbl 0276.58001, MR 0488118 |
| . |
