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

Zohreh Heydarpour () and Javad Izadi ()
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Zohreh Heydarpour: Payame Noor University (PNU), Department of Mathematics
Javad Izadi: Payame Noor University (PNU), Department of Mathematics

A chapter in Functional Equations and Ulam’s Problem, 2026, pp 161-180 from Springer

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

Keywords: Hyers-Ulam-Rassias stability; Bi-Jensen equation; ( C ∗ $$C^*$$ -ternary Jordan bi)hom-derivations; C ∗ $$C^*$$ -ternary Banach algebra; Primary 17A40; 39B52; 17B40; 47B47 (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-032-08949-6_9

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DOI: 10.1007/978-3-032-08949-6_9

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