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Gauge integrals and selections of weakly compact valued multifunctions (1602.00473v3)
Published 1 Feb 2016 in math.FA
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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