Abstract. It is shown that the obvious generalization of the Pettis integral of a multifunction obtained by replacing the Lebesgue integrability of the support functions by the Kurzweil-Henstock integrability, produces an integral which can be described -in case of multifunctions with (weakly) compact convex values -in terms of the Pettis set-valued integral.
Mathematics Subject Classifications (2000):Primary: 28B20; secondary: 26A39, 28B05, 46G10, 54C60.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.