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

Author

Listed:
  • Mina Mohammadi
  • Javad Shokri
  • Saeid Ostadbashi

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.

Suggested Citation

  • Mina Mohammadi & Javad Shokri & Saeid Ostadbashi, 2026. "Study on Approximate C∗-Bimultiplier and JC∗-Bimultiplier in C∗-Ternary Algebra," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2026, pages 1-7, January.
  • Handle: RePEc:hin:jijmms:6923253
    DOI: 10.1155/ijmm/6923253
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