On the fractional Pettis and Aumann-Pettis integral for multifunctions

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

Abstrakty

EN

Let L be a positive real number. In the present paper we present the definition of the Aumann Pettis integral and the Pettis integral of order 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 and for multifunctions.

Słowa kluczowe

EN

measurable multifunction; Aumann integral; Aumann-Pettis integral; fractional integral

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2006
• Tom: Vol. 46, [Z] 2
• Strony: 181--200
• Opis fizyczny: bibliogr. 35 poz.

Twórcy

autor

Ibrahim A-G.

autor

Soliman A.M.

• Cairo University Department of Mathematics, Faculty of Science, Cairo,12211, Egypt,

Bibliografia

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