An extension of the Birkhoff integrability for multifunctions. (English) Zbl 1353.28007
Summary: A comparison between a set-valued Gould type and simple Birkhoff integrals of \(bf(X)\)-valued multifunctions with respect to a non-negative set function is given. Relationships among them and McShane multivalued integrability is given under suitable assumptions.
MSC:
| 28B20 | Set-valued set functions and measures; integration of set-valued functions; measurable selections |
| 58C05 | Real-valued functions on manifolds |
Keywords:
Birkhoff simple integral; Gould integral; McShane integral; countably additive measures; finitely additive measures; atoms; pointwise non-atomic measuresReferences:
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