On set-valued multiadditive functional equations

Abstract

In this work, we obtain some representations of set-valued solutions dened on
an Abelian group G with values in a Hausdor topological vector space of the generalized multiadditive functional equations. We also investigate the Hyers-Ulam stability of the mentioned earlier set-valued functional equations. Furthermore, we prove the Hyers-Ulam stability of the set-valued multiadditive mappings by applying a xed point theorem.