Gauge integrals and selections of weakly compact valued multifunctions

Authors :: Candeloro, D.
Di Piazza, L.
Musial, K.
Sambucini, A. R.
Source :: Journal of Mathematical Analysis and Applications vol 441 (1), (2016) pp 293-308
Publication Year :: 2016
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.<br />Comment: 21 pages

Subjects :: Mathematics - Functional Analysis
28B20, 26E25, 26A39, 28B05, 46G10, 54C60, 54C65

Database :: arXiv
Journal :: Journal of Mathematical Analysis and Applications vol 441 (1), (2016) pp 293-308
Publication Type :: Report
Accession number :: edsarx.1602.00473
Document Type :: Working Paper
Full Text :: https://doi.org/10.1016/j.jmaa.2016.04.009