| Title:
|
On the continuity and differentiability properties of convex functionals (English) |
| Author:
|
Daneš, Josef |
| Author:
|
Kolomý, Josef |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
9 |
| Issue:
|
2 |
| Year:
|
1968 |
| Pages:
|
329-350 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46-45 |
| MSC:
|
47Hxx |
| MSC:
|
49Axx |
| idZBL:
|
Zbl 0169.18503 |
| idMR:
|
MR0239415 |
| . |
| Date available:
|
2008-06-05T20:28:24Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105185 |
| . |
| Reference:
|
[1] J. KOLOMÝ: On the differentiability of mappings and convex functionals.Comment. Math. Univ. Carolinae 8 (1967), 735-752. A correction, this Journal 9 (1968), 197. MR 0243348 |
| Reference:
|
[2] J. KOLOMÝ: Remarks on nonlinear functionals.Comment. Math. Univ. Carolinae 9 (1969), 145-155. MR 0238076 |
| Reference:
|
[3] M. Z. NASHED: Some remarks on variations and differentials.Am. Math. Montly Vol. 73 1966, No 4, 63-76. Zbl 0141.11804, MR 0198188 |
| Reference:
|
[4] M. M. VAJNBERG: Variacionnyje metody issledovanija nelinejnych operatorov.Moskva 1956. |
| Reference:
|
[5] F. A. VALENTINE: Convex sets.New York 1964. Zbl 0129.37203, MR 0170264 |
| Reference:
|
[6] N. BURBAKI: Topologičeskije vektornyje prostranstva.Moskva 1959. |
| Reference:
|
[7] N. I. ACHIEZER I. M. GLAZMAN: Teorija linejnych operatorov v Gil'bertovom prostranstve.Moskva 1966. |
| Reference:
|
[8] S. MAZUR: Über konvexe Mengen in linearen normierten Räumen.Studia Math. IV (1933), 70-84. Zbl 0008.31603 |
| Reference:
|
[9] A. ZYGMUND: Trigonometric series I.Cambridge 1959. |
| Reference:
|
[10] A. ZYGMUND: Smooth functions.Duke Math. J. 12 (1945), 47-76. Zbl 0060.13806, MR 0012691 |
| Reference:
|
[11] J. J. MOREAU: Sur la fonction polaire d'une fonction semicontinue supérieurement.C. R. Acad. Sci. Paris, 258 (1964), 1128-1131. Zbl 0144.30501, MR 0160093 |
| Reference:
|
[12] G. J. MINTY: On the monotonicity of the gradient of a convex function.Pac. J. of Math. 14 (1964), 243-247. Zbl 0123.10601, MR 0167859 |
| Reference:
|
[13] J. J. MOREAU: Sous-differentiabilité.Proc. Colloq. Convexity, Copenhagen 1965, Copenhagen 1967, 185-201. MR 0217598 |
| Reference:
|
[14] J. J. MOREAU: Fonctionelles sous-differentiables.C. R. Acad. Sci. 257 (1963), 4117-4119. MR 0158250 |
| Reference:
|
[15] A. BRØNDSTED R. T. ROCKAFFELAR: On the subdifferentiability of convex functions.Bull. Amer. Math. Soc. 16 (1965), 605-611. MR 0178103 |
| Reference:
|
[16] M. Z. NASHED: Supportably and weakly convex functions with application to approximation theory and nonlinear programming.Journal Math. Anal. and Appl. 18 (1967), No 3, 504-521. MR 0209839 |
| Reference:
|
[17] K. YOSIDA: Functional Analysis.Springer 1965. Zbl 0126.11504, MR 0180824 |
| Reference:
|
[18] J. KOLOMÝ: On the differentiability of mappings in functional spaces.Comment. Math. Univ. Carolinae 8 (1967), 315-330. MR 0212569 |
| Reference:
|
[19] V. ZIZLER: On the differentiability of mappings in Banach spaces.Comment. Math. Univ. Carolinae 8 (1967), 415-430. Zbl 0179.19101, MR 0227772 |
| Reference:
|
[20] J. KOLOMÝ V. ZIZLER: Remarks on the differentiability of mappings in linear normed spaces.Comment. Math. Univ. Carolinae 8 (1967), 691-704. MR 0234279 |
| Reference:
|
[21] M. A. KRASNOSELSKIJ: Topologičeskije metody v teorii nelinejnych integralnych uravnenij.Moskva 1956. |
| Reference:
|
[22] R. I. KAČUROVSKIJ: O monotonnych operatorach i vypuklych funcionalach.Uspechi mat. nauk 15 (1960), No 4, 213-215. Učen. zap. Moskov. obl. ped. inst. N. K. Krupskoj, t. 110 (1962), vyp. 7, 231-243. |
| Reference:
|
[23] M. M. VAJNBERG: Novyje teoremy dlja nelinejnych operatorov i uravnenij.Uč. zap. Moskov. obl. ped. inst. im. N. K. Krupskoj t. 77, vyp. 5, 131-143. |
| . |
