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Gauge integrals and selections of weakly compact valued multifunctions
- 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
Subjects
Details
- 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