On the Fractional Pettis and Aumann-Pettis Integral for Multifunctions

Ahmed-G. Ibrahim, and Asmaa M. Soliman. "On the Fractional Pettis and Aumann-Pettis Integral for Multifunctions." Commentationes Mathematicae 46.2 (2006): null. <http://eudml.org/doc/291496>.

@article{Ahmed2006,
abstract = {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.},
author = {Ahmed-G. Ibrahim, Asmaa M. Soliman},
journal = {Commentationes Mathematicae},
keywords = {Measurable multifunction; Aumann integral; Aumann-Pettis integral; Fractional integral},
language = {eng},
number = {2},
pages = {null},
title = {On the Fractional Pettis and Aumann-Pettis Integral for Multifunctions},
url = {http://eudml.org/doc/291496},
volume = {46},
year = {2006},
}

TY - JOUR
AU - Ahmed-G. Ibrahim
AU - Asmaa M. Soliman
TI - On the Fractional Pettis and Aumann-Pettis Integral for Multifunctions
JO - Commentationes Mathematicae
PY - 2006
VL - 46
IS - 2
SP - null
AB - 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.
LA - eng
KW - Measurable multifunction; Aumann integral; Aumann-Pettis integral; Fractional integral
UR - http://eudml.org/doc/291496
ER -