Integral properties of multifunctions determined by vector valued functions are presented. Such multifunctions quite often serve as examples and counterexamples. In particular it can be observed that the properties of being integrable in the sense of Bochner, McShane or Birkhoff can be transferred to the generated multifunction while Henstock integrability does not guarantee it
Domenico Candeloro, L.D.P. (2019). Multifunctions determined by integrable functions. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 112, 140-148 [10.1016/j.ijar.2019.06.002].
Multifunctions determined by integrable functions
Luisa Di Piazza;
2019-01-01
Abstract
Integral properties of multifunctions determined by vector valued functions are presented. Such multifunctions quite often serve as examples and counterexamples. In particular it can be observed that the properties of being integrable in the sense of Bochner, McShane or Birkhoff can be transferred to the generated multifunction while Henstock integrability does not guarantee it
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