# American Institute of Mathematical Sciences

November  2021, 4(4): 299-310. doi: 10.3934/mfc.2021020

## A note on convergence results for varying interval valued multisubmeasures

 1 University ''Alexandru Ioan Cuza'', Faculty of Mathematics, Bd. Carol I, No. 11, Iaşi, 700506, Romania 2 Petroleum-Gas University of Ploieşti, Department of Computer Science, Information Technology, Mathematics and Physics, Bd. Bucureşti, No. 39, Ploieşti 100680, Romania 3 Department of Mathematics and Computer Sciences, University of Perugia, 1, Via Vanvitelli, 06123 Perugia, Italy

*Corresponding author: Anna Rita Sambucini

Received  June 2021 Revised  August 2021 Published  November 2021 Early access  September 2021

Some limit theorems are presented for Riemann-Lebesgue integrals where the functions $G_n$ and the measures $M_n$ are interval valued and the convergence for the multisubmeasures is setwise. In particular sufficient conditions in order to obtain $\int G_n dM_n \to \int G dM$ are given.

Citation: Anca Croitoru, Alina GavriluŢ, Alina Iosif, Anna Rita Sambucini. A note on convergence results for varying interval valued multisubmeasures. Mathematical Foundations of Computing, 2021, 4 (4) : 299-310. doi: 10.3934/mfc.2021020
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