| Title:
|
On singlevaluedness and (strong) upper semicontinuity of maximal monotone mappings (English) |
| Author:
|
Fabián, Marián J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
18 |
| Issue:
|
1 |
| Year:
|
1977 |
| Pages:
|
19-39 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46B03 |
| MSC:
|
46B05 |
| MSC:
|
47H05 |
| MSC:
|
54C05 |
| idZBL:
|
Zbl 0347.47027 |
| idMR:
|
MR0442764 |
| . |
| Date available:
|
2008-06-05T20:53:22Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105746 |
| . |
| Reference:
|
[1] A. ALEXIEWICZ: Analiza funkcjonalna.Warszawa, 1969. |
| Reference:
|
[2] D. AMIR J. LINDENSTRAUSS: The structure of weaker compact sets in Banach spaces.Annals of Mathematics 88 (1968), 35-46. MR 0228983 |
| Reference:
|
[3] E. ASPLUND: Fréchet differentiability of convex functions.Acta Math. 121 (1968), 31-47. Zbl 0162.17501, MR 0231199 |
| Reference:
|
[4] F. E. BROWDER: Problémes non lineaires.Les presses de l'Université de Montréal, 1966. Zbl 0153.17302 |
| Reference:
|
[5] E. ČECH: Point sets.Academia, Prague , 1969. MR 0256344 |
| Reference:
|
[6] M. FABIAN: On strong continuity of monotone mappings in reflexive Banach spaces.to appear in Acta Polytechnica 1977. MR 0467406 |
| Reference:
|
[7] K. JOHN V. ZIZLER: A renorming of dual spaces.Israel J. Math. 12 (1972), 331-336. MR 0344853 |
| Reference:
|
[8] K. JOHN V. ZIZLER: A note on renorming of dual spaces.Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 21 (1973), 47-50. MR 0320711 |
| Reference:
|
[9] T. KATO: Demi-continuity, hemi-continuity, and monotonicity.Bull. Amer. Math. Soc. 70 (1964), 548-550. MR 0163198 |
| Reference:
|
[10] P. S. KENDEROV: The set-valued monotone mappings are almost everywhere singlevalued.Comptes rendus de l'Académie Bulgare des Sciences 27 (1974), 1173-1175. MR 0358447 |
| Reference:
|
[11] P. S. KENDEROV: A note on multivalued monotone mappings.Comptes rendus de l'Académic Bulgare des Sciences 28 (1975), 583-584. Zbl 0322.47032, MR 0375007 |
| Reference:
|
[12] P. S. KENDEROV: Semicontinuity of set-valued monotone mappings.Fundamenta Mathematica 88 (1975), 61-69. MR 0380723 |
| Reference:
|
[13] N. KENMOCHI: Accretive mappings in Banach spaces.Hiroshima Math. Journal 2 (1972), 163-177. MR 0326503 |
| Reference:
|
[14] J. J. MOREAU: Fonctionnelles sous-differantiables.Comptes rendus Acad. Sci. Paris 257 (1963),4117-4119. MR 0158250 |
| Reference:
|
[15] I. NAMIOKA R. R. PHELPS: Banach spaces which are Asplund spaces.Duke Math. J. 42 (1975), 735-750. MR 0390721 |
| Reference:
|
[16] R. ROBERT: Points de continuité de multi-applications semi-continues supérieurement.Comptes rendus Acad. Sci. Paris 278 (1974), 413-415. Zbl 0274.54009, MR 0348497 |
| Reference:
|
[17] R. ROBERT: Une généralisation aux opérateurs monotones des théorèmes de differentiabilité d'Asplund.Analyse convexe et see applications, Lecture Notes in Economics and Mathematical System 102, 168-179. Zbl 0301.47040, MR 0482398 |
| Reference:
|
[18] R. T. ROCKAFELLAR: Local boundedness of nonlinear monotone operators.Michigan Math. J. 16 (1969), 397-407. Zbl 0175.45002, MR 0253014 |
| Reference:
|
[19] R. T. ROCKAFELLAR: On the maximal monotonicity of subdifferential mappings.Pacific J. Math. 33 (1970), 209-216. Zbl 0199.47101, MR 0262827 |
| Reference:
|
[20] S. L. TROYANSKI: On locally uniformly convex and differentiate norms in certain non-separable Banach spaces.Studia Mathematica 37 (1971), 173-180. MR 0306873 |
| Reference:
|
[21] E. H. ZARANTONELLO: Dense Single-valuedness of Monotone Operators.Israel J. Math. 15 (1973), 158-166. Zbl 0274.47028, MR 0324490 |
| . |
