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In this work, first, we introduce the concept of ( \(C^*\) -ternary bi)hom–derivations and ( \(C^*\) -ternary Jordan bi)hom-derivations with non-identical variables on \(C^*\) -ternary Banach algebras. Finally, we investigate the Hyers-Ulam stability of \(C^*\) -ternary Jordan bihomomorphisms and ( \(C^*\) -ternary bi) hom-derivations between \(C^*\) -ternary Banach algebras by Rassias’s control function.

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General Bi-Jensen Equation and ( \(C^*\) -Ternary Bi)Hom-Derivations on \(C^*\) -Ternary Banach Algebras

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  • 发表日期：

    2026年

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  • Zohreh Heydarpour,
  • Javad Izadi

摘要

In this work, first, we introduce the concept of ( \(C^*\) -ternary bi)hom–derivations and ( \(C^*\) -ternary Jordan bi)hom-derivations with non-identical variables on \(C^*\) -ternary Banach algebras. Finally, we investigate the Hyers-Ulam stability of \(C^*\) -ternary Jordan bihomomorphisms and ( \(C^*\) -ternary bi) hom-derivations between \(C^*\) -ternary Banach algebras by Rassias’s control function.