On set-valued multiadditive functional equations

Mahmoud Hassani, Eqbal Keyhani, Abasalt Bodaghi


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.


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