Title:
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On superpositionally measurable semi-Carathéodory multifunctions (English) |
Author:
|
Zygmunt, Wojciech |
Language:
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English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
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1213-7243 (online) |
Volume:
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33 |
Issue:
|
1 |
Year:
|
1992 |
Pages:
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73-77 |
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Category:
|
math |
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Summary:
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For multifunctions $F:\/T\times X\to 2^Y$, measurable in the first variable and semicontinuous in the second one, a relation is established between being product measurable and being superpositionally measurable. (English) |
Keyword:
|
multifunctions |
Keyword:
|
semi-Carathéodory multifunctions |
Keyword:
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product measurable |
Keyword:
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superpositionally measurable |
MSC:
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28B20 |
idZBL:
|
Zbl 0756.28008 |
idMR:
|
MR1173749 |
. |
Date available:
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2009-01-08T17:53:43Z |
Last updated:
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2012-04-30 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/118473 |
. |
Reference:
|
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Reference:
|
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Reference:
|
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Reference:
|
[4] Kucia A.: On the existence of Carathéodory selectors.Bull. Pol. Acad., Math. 32 (1984), 233-241. Zbl 0562.28004, MR 0771908 |
Reference:
|
[5] Lojasiewicz S.Jr.: Some theorems of Scorza-Dragoni type for multifunctions with application to the problem of existence of solutions for differential multivalued equations.Mathematical Control Theory, Banach Cent. Publ., vol. 14, PWN - Polish Scientific Publishers, Warsaw, 1985, 625-643. Zbl 0576.49024, MR 0851255 |
Reference:
|
[6] Mordukhovich B.Š.: Some properties of multivalued mappings and differential inclusions with an application to problems of the existence of solutions for optimal controls (in Russian).Izvestiya Akad. Nauk BSSR 1981, VINITI No. 5268-80. |
Reference:
|
[7] Nowak A.: Random differential inclusions; measurable selection approach.Ann. Polon. Math. 49 (1989), 291-296. Zbl 0674.60062, MR 0997521 |
Reference:
|
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Reference:
|
[9] Papageorgiou N.S.: On multivalued evolution equations and differential inclusions in Banach spaces.Comment. Math. Univ. St. Pauli 36 (1987), 21-39. Zbl 0641.47052, MR 0892378 |
Reference:
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[10] Sainte-Beuve M.F.: On the extension of von Neumann-Aumann's theorem.J. Funct. Anal. 17 (1974), 112-129. Zbl 0286.28005, MR 0374364 |
Reference:
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[11] Spakowski A.: On superpositionally measurable multifunctions.Acta Univ. Carol., Math. Phys., No. 2, 30 (1989), 149-151. Zbl 0705.28003, MR 1046461 |
Reference:
|
[12] Tsalyuk V.Z.: On superpositionally measurable multifunctions (in Russian).Mat. Zametki 43 (1988), 98-102. |
Reference:
|
[13] Wagner D.H.: Survey of measurable selection theorems.SIAM J. Control Optim. 15 (1977), 859-903. Zbl 0407.28006, MR 0486391 |
Reference:
|
[14] Zygmunt W.: The Scorza-Dragoni's type property and product measurability of a multifunction of two variables.Rend. Acad. Naz. Sci., XL. Mem. Mat. 12 (1988), 109-115. Zbl 0677.28004, MR 0985060 |
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