IJPAM: Volume 5, No. 1 (2003)

MULTIVALUED INTEGRAL
OF NON CONVEX INTEGRANDS

Anna Martellotti$^1$, Anna Rita Sambucini$^2$
$^{1,2}$Department of Mathematics and Informatics
University of Perugia
1, Via Vanvitelli, 06123 Perugia, ITALY
$^1$e-mail: amart@dipmat.unipg.it
$^2$e-mail: matears1@unipg.it


Abstract.We study here the convexity of the Aumann integral for suitable multifunctions with values in the closed subsets of an infinite dimensional spaces.

Received: December 20, 2002

AMS Subject Classification: 28B20, 26E25, 46B20, 54C60

Key Words and Phrases: Aumann integral, countably additive measures, selections, Liapounov measures

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 5
Issue: 1