Permuting triderivations and permuting trihomomorphisms in complex Banach algebras

Sajjad Khan, Se Won Min,Choonkil Park

The Journal of Analysis(2024)

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Abstract
In this paper, we introduce and solve new tri-additive s -functional inequalities. Moreover, we prove the Hyers-Ulam staility and hyperstability of permuting triderivations and permuting trihomomorphisms in Banach algebras and unital C^* -algebras, associated with the new tri-additive s -functional inequalities.
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Key words
Permuting triderivation on C^* -algebra,Permuting trihomomorphism in Banach algebra,Hyers-Ulam stability,Hyperstability,Tri-additive s-functional inequality
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