Geodesic
Selection theorems for stochastic set-valued integrals
Discussiones Mathematicae. Probability and Statistics, Tome 21 (2001) no. 1, pp. 63-75
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Some special selections theorems for stochastic set-valued integrals with respect to the Lebesgue measure are given.
Keywords: stochastic set-valued integrals, nonanticipated stochastic processes, diagonal convexity, selections 
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Kisielewicz, Michał. Selection theorems for stochastic set-valued integrals. Discussiones Mathematicae. Probability and Statistics, Tome 21 (2001) no. 1, pp. 63-75. http://geodesic.mathdoc.fr/item/DMPS_2001_21_1_a4/

[1] M. Kisielewicz, Set-valued stochastic integrals and stochastic inclusions, Stoch. Anal. Appl. 15 (5) (1997), 783-800.

[2] M. Kisielewicz, Differential Inclusions and Optimal Control, Kluwer Acad. Publ., PWN, Dortrecht-Boston-London-Warszawa 1991.

[3] M. Kisielewicz, Weak compactness of solution set of stochastic differential inclusions, Topol. Meth. in Nonlin. Anal. (presented to print).

[4] L. Rybiński, On Carathéodory type selections, Fund. Math. 125 (1985), 187-193.