A note on convergence results for varying interval valued multisubmeasures

Abstract

<p style='text-indent:20px;'>Some limit theorems are presented for Riemann-Lebesgue integrals where the functions <inline-formula><tex-math id="M1">\begin{document}$ G_n $\end{document}</tex-math></inline-formula> and the measures <inline-formula><tex-math id="M2">\begin{document}$ M_n $\end{document}</tex-math></inline-formula> are interval valued and the convergence for the multisubmeasures is setwise. In particular sufficient conditions in order to obtain <inline-formula><tex-math id="M3">\begin{document}$ \int G_n dM_n \to \int G dM $\end{document}</tex-math></inline-formula> are given.</p>