Study on Approximate C∗-Bimultiplier and JC∗-Bimultiplier in C∗-Ternary Algebra

Mina Mohammadi, Javad Shokri and Saeid Ostadbashi

International Journal of Mathematics and Mathematical Sciences, 2026, vol. 2026, 1-7

Abstract: An additive-quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=2Fr,s+2Fr,t. This paper leverages the fixed-point method to investigate C∗-bimultiplier and JC∗-bimultiplier approximations on C∗-ternary algebras. The focus is on the additive-quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2Fr,t+2Fr,u+2Fs,t+2Fs,u, which holds for all r,s,t,u∈A. Our approximation is related to this solution which concept is called the stability of functional equation. In this work, the essential theorems have been proved and also related corollaries will be presented.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:6923253

DOI: 10.1155/ijmm/6923253

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