On superpositional measurability of semi-Carathéodory multifunctions

Wojciech Zygmunt

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 4, page 741-744
  • ISSN: 0010-2628

Abstract

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It is shown that product weakly measurable lower weak semi-Carathéodory multifunction is superpositionally measurable.

How to cite

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Zygmunt, Wojciech. "On superpositional measurability of semi-Carathéodory multifunctions." Commentationes Mathematicae Universitatis Carolinae 35.4 (1994): 741-744. <http://eudml.org/doc/247639>.

@article{Zygmunt1994,
abstract = {It is shown that product weakly measurable lower weak semi-Carathéodory multifunction is superpositionally measurable.},
author = {Zygmunt, Wojciech},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {multifunctions; weak semi-Carathéodory multifunctions; product weakly measurable; superpositionally weakly measurable; semi-Carathéodory multifunctions; superpositional measurability; weakly measurable multifunction},
language = {eng},
number = {4},
pages = {741-744},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On superpositional measurability of semi-Carathéodory multifunctions},
url = {http://eudml.org/doc/247639},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Zygmunt, Wojciech
TI - On superpositional measurability of semi-Carathéodory multifunctions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 4
SP - 741
EP - 744
AB - It is shown that product weakly measurable lower weak semi-Carathéodory multifunction is superpositionally measurable.
LA - eng
KW - multifunctions; weak semi-Carathéodory multifunctions; product weakly measurable; superpositionally weakly measurable; semi-Carathéodory multifunctions; superpositional measurability; weakly measurable multifunction
UR - http://eudml.org/doc/247639
ER -

References

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  2. de Blasi F.S., Myjak J., On continuous approximations for multifunctions, Pacific J. Math. 123 No 1 (1986), 9-31. (1986) Zbl0595.47037MR0834135
  3. Castaing Ch., Valadier M., Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics 580, Springer-Verlag, Berlin, 1987. Zbl0346.46038MR0467310
  4. Himmelberg C.J., Measurable relations, Fundam. Math. 87 (1975), 53-72. (1975) Zbl0296.28003MR0367142
  5. Klein E., Thompson A.C., Theory of Correspondences, Wiley-Interscience New York (1984). (1984) Zbl0556.28012MR0752692
  6. Nowak A., Random differential inclusions; measurable selection approach, Ann. Polon. Math. 49 (1989), 291-296. (1989) Zbl0674.60062MR0997521
  7. Papageorgiou N.S., On measurable multifunctions with application to random multivalued equations, Math. Japonica 32 (1987), 437-464. (1987) MR0914749
  8. Spakowski A., On superpositionally measurable multifunctions, Acta Univ. Carol., Math. Phys. 30 No 2 (1989), 149-151. (1989) Zbl0705.28003MR1046461
  9. Wagner D.H., Survey of measurable selection theorems, SIAM J. Control Optim. 15 (1977), 859-903. (1977) Zbl0407.28006MR0486391
  10. Zygmunt W., On superpositionally measurable semi-Carathéodory multifunctions, Comment. Math. Univ. Carolinae 33 (1992), 73-74. (1992) Zbl0756.28008MR1173749

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