Title:
|
Theory of Fréchet cones (English) |
Author:
|
Fabian, Marián |
Language:
|
English |
Journal:
|
Časopis pro pěstování matematiky |
ISSN:
|
0528-2195 |
Volume:
|
107 |
Issue:
|
1 |
Year:
|
1982 |
Pages:
|
37-58 |
. |
Category:
|
math |
. |
MSC:
|
46G05 |
idZBL:
|
Zbl 0487.46027 |
idMR:
|
MR651081 |
DOI:
|
10.21136/CPM.1982.108321 |
. |
Date available:
|
2009-09-23T09:13:16Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108321 |
. |
Reference:
|
[1] M. S. Bazaraa J. J. Goode M. Z. Nashed: On the cones of tangents with applications to mathematical programming.Ј. Opt. Theory Appl., 13 (1974), 389-426. MR 0366398 |
Reference:
|
[2] H. Cartan: Calculus différentiel.Formes differentielles. Herman, Paris 1967. |
Reference:
|
[3] J. Daneš J. Durdil: A note on geometric characterization os Fréchet differentiability.Comm. Math. Univ. Carolinae, 17 (1976), 195-204. MR 0415663 |
Reference:
|
[4] J. Durdil: On the geometric characterization of differentiability I.Comm. Math. Univ. Carolinae, 15 (1974), 521-540. Zbl 0289.58004, MR 0426019 |
Reference:
|
[5] J. Durdil: On the geometric characterization of differentiability II.Comm. Math. Univ. Carolinae, 15 (1974), 727-744. Zbl 0294.58003, MR 0426019 |
Reference:
|
[6] M. Fabian: Concerning a geometrical characterization of Fréchet differentiability.Časop. Pěst. Mat., 104 (1979), 45-64. Zbl 0393.46035, MR 0523572 |
Reference:
|
[7] M. Fabian: Theory of Fréchet and Gâteaux cones and nonlinear analysis.Technical Repoгt ÚVT ČVUT - 3/1977. |
Reference:
|
[8] M. Fabian: Exponential stability of differential inclusions.Acta Polytechnica, (1979), 39-46. |
Reference:
|
[9] T. M. Flett: On differentiation in normed vector spaces.Ј. London Math. Soc., 42 (1967), 523-533. MR 0215093 |
Reference:
|
[10] Zs. Harnos: On the geometric characterization of differentiation in normed vector spaces.Ann. Univ. Sc. Budepestiensis, 21 (1978), 55 - 64. Zbl 0408.46032, MR 0536202 |
Reference:
|
[11] K. Kuratowski: Topology, Volume I.Academic Press, New York, London 1966. MR 0217751 |
Reference:
|
[12] J. P. Penot: Extremisation et optimisation., Cours ďanalyse fonctionelle appliqué. Pau (Octobre 1973 - Јanvieг 1974), preprint. MR 0649629 |
Reference:
|
[13] C. Ursescu: Tangent sets and differentiable functions.Banach Center Publications, Vol. 1., Proc. Conf. Zakopané 1974, Warszawa 1976, 151 - 155. |
Reference:
|
[14] J. Warga: Optimal control of differential and functional equations.Academic Press, New Yoгk 1973. MR 0372708 |
Reference:
|
[15] 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 |
. |