


Paper's Title:
A Multivalued Version of the RadonNikodym Theorem, via the Singlevalued Gould Integral
Author(s):
Domenico Candeloro^{1}, Anca Croitoru^{2}, Alina Gavriluţ^{2}, Anna Rita Sambucini^{1}
^{1}Dept. of Mathematics and Computer
Sciences,
University of Perugia,
1, Via Vanvitelli  06123, Perugia,
Italy.
Email: domenico.candeloro@unipg.it,
anna.sambucini@unipg.it
^{2}Faculty of Mathematics,
Al. I. Cuza University,
700506 Iaşi,
Romania.
Email: croitoru@uaic.ro,
gavrilut@uaic.ro
Abstract:
In this paper we consider a Gould type integral of real functions with respect to a compact and convex valued not necessarily additive measure. In particular we will introduce the concept of integrable multimeasure and, thanks to this notion, we will establish an exact RadonNikodym theorem relative to a fuzzy multisubmeasure which is new also in the finite dimensional case. Some results concerning the Gould integral are also obtained.
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