A note on convergence results for varying interval valued multisubmeasures. (English) Zbl 1495.28014
The authors investigate some limit theorems for Riemann-Lebesgue integrals of interval valued functions with respect to interval valued multisubmeasures. They also give different convergence theorems for sequences of interval valued Riemann-Lebesgue integrals, using the weak interval order, the uniform convergence of interval valued functions and the set-wise convergence.
Reviewer: Mohamed Zohry (Tétouan)
MSC:
| 28B20 | Set-valued set functions and measures; integration of set-valued functions; measurable selections |
| 28C15 | Set functions and measures on topological spaces (regularity of measures, etc.) |
| 49J53 | Set-valued and variational analysis |
Keywords:
Riemann-Lebesgue integral; interval valued (set) multifunction; nonadditive set function; setwise convergence; varying interval valued multisubmeasuresReferences:
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