Gauge integrals and selections of weakly compact valued multifunctions

Published 1 Feb 2016 in math.FA | (1602.00473v3)

Abstract: In the paper Henstock, McShane, Birkhoff and variationally multivalued integrals are studied for multifunctions taking values in the hyperspace of convex and weakly compact subsets of a general Banach space X. In particular the existence of selections integrable in the same sense of the corresponding multifunctions has been considered.

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