Set-Valued Lebesgue and Riesz Type Theorems

Abstract

In this paper, we continue a previous study concerning different types of pseudo-convergences of sequences of measurable functions with respect to set-valued nonadditive monotonic set functions and we establish some pseudo-versions of Lebesgue and Riesz theorems in the set-valued case. We also characterize some important structural properties of fuzzy multimeasures.

Applications of Stieltjes Derivatives to Periodic Boundary Value Inclusions

“…On the other hand, the set-valued setting covers a wider range of problems ( [9][10][11][12], see also [13][14][15]), therefore passing from the single-valued to the multivalued case brings a real improvement.…”