# Connections between recent Olech-type lemmas and Visintin's theorem

Banach Center Publications (1995)

- Volume: 32, Issue: 1, page 47-52
- ISSN: 0137-6934

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topBalder, Erik. "Connections between recent Olech-type lemmas and Visintin's theorem." Banach Center Publications 32.1 (1995): 47-52. <http://eudml.org/doc/262876>.

@article{Balder1995,

abstract = {A recent Olech-type lemma of Artstein-Rzeżuchowski [2] and its generalization in [7] are shown to follow from Visintin's theorem, by exploiting a well-known property of extreme points of the integral of a multifunction.},

author = {Balder, Erik},

journal = {Banach Center Publications},

keywords = {integrals of multifunctions; measurable selections; extreme point; strong convergence; weak convergence},

language = {eng},

number = {1},

pages = {47-52},

title = {Connections between recent Olech-type lemmas and Visintin's theorem},

url = {http://eudml.org/doc/262876},

volume = {32},

year = {1995},

}

TY - JOUR

AU - Balder, Erik

TI - Connections between recent Olech-type lemmas and Visintin's theorem

JO - Banach Center Publications

PY - 1995

VL - 32

IS - 1

SP - 47

EP - 52

AB - A recent Olech-type lemma of Artstein-Rzeżuchowski [2] and its generalization in [7] are shown to follow from Visintin's theorem, by exploiting a well-known property of extreme points of the integral of a multifunction.

LA - eng

KW - integrals of multifunctions; measurable selections; extreme point; strong convergence; weak convergence

UR - http://eudml.org/doc/262876

ER -

## References

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- [12] J. Neveu, Bases Mathématiques du Calcul des Probabilités, Masson, Paris, 1964. Zbl0137.11203
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- [14] J. Neveu, Existence theory in optimal control, in: Control Theory and Topics in Functional Analysis, IAEA, Vienna, 1976, 291-328.
- [15] J. Pfanzagl, Convexity and conditional expectations, Ann. Probab. 2 (1974), 490-494. Zbl0285.60002
- [16] M. Slaby, Strong convergence of vector-valued pramarts and subpramarts, Probab. Math. Statist. 5 (1985), 187-196. Zbl0626.60039
- [17] M. Valadier, Young measures, weak and strong convergence and the Visintin-Balder theorem, Set-Valued Anal. 2 (1994), 357-367. Zbl0818.46031
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