| Title:
|
On the differentiability of mappings and convex functionals (English) |
| Author:
|
Kolomý, Josef |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
8 |
| Issue:
|
4 |
| Year:
|
1967 |
| Pages:
|
735-752 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46-45 |
| MSC:
|
47Axx |
| idZBL:
|
Zbl 0169.18502 |
| idMR:
|
MR0243348 |
| . |
| Date available:
|
2008-06-05T20:26:38Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105145 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/105170 |
| . |
| Reference:
|
[1] J. KOLOMÝ: On the differentiability of mappings in functional spaces.Comment. Math. Univ. Carolinae 8 (1967), No 2, 315-330. MR 0212569 |
| Reference:
|
[2] J. KOLOMÝ V. ZIZLER: Remarks on the differentiability of mappings in linear normed spaces.Comment. Math. Univ. Carolinae 8 (1967), No 4, 619-704. MR 0234279 |
| Reference:
|
[3] V. ZIZLER: On the differentiability of mappings in Banach spaces.Comment. Math. Univ. Carolinae 8 (1967), No 3, 415-430. Zbl 0179.19101, MR 0227772 |
| Reference:
|
[4] J. DURDIL: On the differentiability of Urysohn and Nemyckij operator.Comment. Math. Univ. Carolinae 8 (1967), No 3, 515-553. MR 0227822 |
| Reference:
|
[5] M. Z. NASHED: Some remarks on variations and differentials.An. Math. Monthly Vol. 73 (1966), No 4, 63-76. Zbl 0141.11804, MR 0198188 |
| Reference:
|
[6] M. Z. NASHED: Supportably and weakly convex functions with application to approximation theory and nonlinear programming.Journ. Math. Anal. and Appl. 18 (1967), No 3, 504-521. MR 0209839 |
| Reference:
|
[7] M. M. VAJNBERG: O minimume vypuklych funkcionalov.Uspechi mat. nauk 20 (1965), No 1, 239-240. |
| Reference:
|
[8] R. I. KAČUROVSKIJ: O monotonnych operatorach i vypuklych funkcionalach.Uspechi mat. nauk 15 (1960), No 4, 213-215. MR 0112608 |
| Reference:
|
[9] E. S. LEVITAN B. T. POLJAK: O schodimosti minimizurujuščich posledovatelnostěj v zadačach na uslovnyj ekstremum.Dokl. akad. nauk SSSR t. 168 (1966), No 5, 997-1000. MR 0199016 |
| Reference:
|
[10] E. F. BROWDER: Variational boundary value problems for quasi-linear elliptic equations of arbitrary order.Proc. Nat. Acad. Sci U. S. A. Vol. 50 (1963), No 1, 31-37. Zbl 0117.07102, MR 0166474 |
| Reference:
|
[11] M. M. VAJNBERG: Variacionnyje metody issledovanija nelinejnych operatorov.Moskva 1956. |
| Reference:
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[12] F. A. VALENTINE: Convex sets.New York 1964. Zbl 0129.37203, MR 0170264 |
| Reference:
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[13] S. MAZUR: Über konvexe Mengen in linearen normierten Räumen.Studia Math. t. IV (1933), 70-84. Zbl 0008.31603 |
| Reference:
|
[14] T. RADO P. V. REICHELDERFER: Continuous transformations in analysis.Springer 1955. MR 0079620 |
| Reference:
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[15] H. RADEMACHER: Ueber partielle und totale Differenzierbarkeit.Math. Ann. 79 (1919) 340-359, 81 (1920), 52-63. |
| Reference:
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[16] N. A. IVANOV: O differencialech Gate i Freše.Uspechi mat. nauk t. X (1955), 161-166. |
| Reference:
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[17] C. L. DOLPH G. J. MINTY: On nonlinear integral equations of the Hammerstein type. Nonlinear integral equations.Proceedings of an Advanced Seminar, 1963. The Univ. of Wisconsin Press, 1964, 99-154. MR 0161113 |
| Reference:
|
[18] N. BURBAKI: Topologičeskije vektornyje prostranstva.Moskva 1959. |
| Reference:
|
[19] R. NEVANLINNA: Bemerkung zur Funkcionalanalysis.Math. Scand. 1 (1953), No 1, 104-112. MR 0056833 |
| Reference:
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[20] V. JARNÍK: Diferenciální počet II.Praha 1953. |
| Reference:
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[21] B. T. POLJAK: Teoremy susčestvovanija i schodimosť minimizurujuščich posledovatelnostěj dlja zadač na ekstremum pri naličii ohraničenij.Dokl. akad. n. SSSR, 166 (1966) No 2, 287-290. |
| . |
