A complete metric on the space of integrable multifunctions

Dušan Holý

Mathematica Slovaca (1995)

  • Volume: 45, Issue: 1, page 63-77
  • ISSN: 0139-9918

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Holý, Dušan. "A complete metric on the space of integrable multifunctions." Mathematica Slovaca 45.1 (1995): 63-77. <http://eudml.org/doc/31922>.

@article{Holý1995,
author = {Holý, Dušan},
journal = {Mathematica Slovaca},
keywords = {measurable multifunction; integrable multifunction; Hausdorff distance},
language = {eng},
number = {1},
pages = {63-77},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A complete metric on the space of integrable multifunctions},
url = {http://eudml.org/doc/31922},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Holý, Dušan
TI - A complete metric on the space of integrable multifunctions
JO - Mathematica Slovaca
PY - 1995
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 45
IS - 1
SP - 63
EP - 77
LA - eng
KW - measurable multifunction; integrable multifunction; Hausdorff distance
UR - http://eudml.org/doc/31922
ER -

References

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  2. AUMANN R. J., Integrals of set-valued function, J. Math. Anal. Appl. 12 (1965), 1-12. (1965) MR0185073
  3. BEER G., Topologies on Closed and Closed Convex sets, Kluwer Acad. P.G., 1993. (1993) Zbl0792.54008MR1269778
  4. HIAI F., Convergence of conditional expectations and strong laws of large numbers fo multivalued random variables, Trans. Amer. Math. Soc. 291 (1985), 613-627. (1985) MR0800254
  5. HIAI F., UMEGAKI H., Integrals, conditional expectations, and Martingales of multivalued functions, J. Multivariate Anal. 7 (1977), 149-182. (1977) Zbl0368.60006MR0507504
  6. HIMMEBERG C. J., Measurable relations, Fund. Math. 87 (1975), 53-72. (1975) MR0367142
  7. KUCIA A., NOWAK A., On Baire approximations of normal integrands, Comment. Math. Univ. Carolin. 30 (1989), 373-376. (1989) Zbl0685.28001MR1014136
  8. MALÍK J., Some questions of continuity, measurability and integrability of multifunction, (Czech). Thesis. (The library of Comenius University, Michalská 1, Bratislava). 
  9. KELLEY, J, General Topology, Van Nostrand, New York, 1955. (1955) Zbl0066.16604MR0070144
  10. SCHMEIDLER, D, Fatou's lemma in several dimensions, Proc. Amer. Mcith. Soc. 24 (1970), 300-306. (1970) Zbl0187.31403MR0248316
  11. WAGNER D. H., Survey of measurable selection theorems, SIAM J. Control Optim 15 (1977), 859-903. (1977) Zbl0407.28006MR0486391

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