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On the Fractional Pettis and Aumann-Pettis Integral for Multifunctions

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Ibrahim A.-G., Soliman A. M.

Commentationes Mathematicae

2006

tom 46

nr 2

Let \(\alpha\) be a positive real number. In the present paper we present the definition of the Aumann Pettis integral and the Pettis integral of order \(\alpha\) for multifunctions. The properties of these integrals and the relations between them are studied extensively. In particular, a Strassen type theorem in this case and continuation property are proved. Also, we give a version for Fatou's lemma and dominated convergence theorem for the Aumann-Pettis integral of order \(\alpha\) and for multifunctions.

Ograniczanie wyników

1 Commentationes Mathematicae

1 Ibrahim A.-G.

1 Soliman A. M.

1 2006

Wyniki wyszukiwania

On the Fractional Pettis and Aumann-Pettis Integral for Multifunctions