On the Fractional Pettis and Aumann-Pettis Integral for Multifunctions

• Autorzy: Ahmed-G. Ibrahim , Asmaa M. Soliman
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Measurable multifunction; Aumann integral; Aumann-Pettis integral; Fractional integral

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2006
• Tom: 46
• Numer: 2

Daty

wydano

2006

online

2017-12-19

Twórcy

autor

Ahmed-G. Ibrahim

autor

Asmaa M. Soliman

Identyfikatory

DOI

10.14708/cm.v46i2.5216