| Title:
|
On superpositional measurability of semi-Carathéodory multifunctions (English) |
| Author:
|
Zygmunt, Wojciech |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
741-744 |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is shown that product weakly measurable lower weak semi-Carathéodory multifunction is superpositionally measurable. (English) |
| Keyword:
|
multifunctions |
| Keyword:
|
weak semi-Carathéodory multifunctions |
| Keyword:
|
product weakly \linebreak measurable |
| Keyword:
|
superpositionally weakly measurable |
| MSC:
|
26E25 |
| MSC:
|
28B20 |
| MSC:
|
49Q20 |
| idZBL:
|
Zbl 0821.28008 |
| idMR:
|
MR1321244 |
| . |
| Date available:
|
2009-01-08T18:14:50Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118715 |
| . |
| Reference:
|
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| Reference:
|
[2] de Blasi F.S., Myjak J.: On continuous approximations for multifunctions.Pacific J. Math. 123 No 1 (1986), 9-31. Zbl 0595.47037, MR 0834135 |
| Reference:
|
[3] Castaing Ch., Valadier M.: Convex Analysis and Measurable Multifunctions.Lecture Notes in Mathematics 580, Springer-Verlag, Berlin, 1987. Zbl 0346.46038, MR 0467310 |
| Reference:
|
[4] Himmelberg C.J.: Measurable relations.Fundam. Math. 87 (1975), 53-72. Zbl 0296.28003, MR 0367142 |
| Reference:
|
[5] Klein E., Thompson A.C.: Theory of Correspondences.Wiley-Interscience New York (1984). Zbl 0556.28012, MR 0752692 |
| Reference:
|
[6] Nowak A.: Random differential inclusions; measurable selection approach.Ann. Polon. Math. 49 (1989), 291-296. Zbl 0674.60062, MR 0997521 |
| Reference:
|
[7] Papageorgiou N.S.: On measurable multifunctions with application to random multivalued equations.Math. Japonica 32 (1987), 437-464. MR 0914749 |
| Reference:
|
[8] Spakowski A.: On superpositionally measurable multifunctions.Acta Univ. Carol., Math. Phys. 30 No 2 (1989), 149-151. Zbl 0705.28003, MR 1046461 |
| Reference:
|
[9] Wagner D.H.: Survey of measurable selection theorems.SIAM J. Control Optim. 15 (1977), 859-903. Zbl 0407.28006, MR 0486391 |
| Reference:
|
[10] Zygmunt W.: On superpositionally measurable semi-Carathéodory multifunctions.Comment. Math. Univ. Carolinae 33 (1992), 73-74. Zbl 0756.28008, MR 1173749 |
| . |
