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Orthogonally C∗‐Ternary Jordan Homomorphisms and Jordan Derivations: Solution and Stability

Author

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  • Vahid Keshavarz
  • Sedigheh Jahedi

Abstract

In this work, by using some orthogonally fixed point theorem, we prove the stability and hyperstability of orthogonally C∗‐ternary Jordan homomorphisms between C∗‐ternary Banach algebras and orthogonally C∗‐ternary Jordan derivations of some functional equation on C∗‐ternary Banach algebras.

Suggested Citation

  • Vahid Keshavarz & Sedigheh Jahedi, 2022. "Orthogonally C∗‐Ternary Jordan Homomorphisms and Jordan Derivations: Solution and Stability," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:3482254
    DOI: 10.1155/2022/3482254
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    References listed on IDEAS

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    1. Youssef Aribou & Mohamed Rossafi & Ji Gao, 2020. "Hyperstability of the k-Cubic Functional Equation in Non-Archimedean Banach Spaces," Journal of Mathematics, Hindawi, vol. 2020, pages 1-10, December.
    2. Abdollah Dinmohammadi, 2022. "Orthogonally Fixed Points and (m, m)‐Hom‐Derivation Equations," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    3. Abdollah Dinmohammadi & Xiaolong Qin, 2022. "Orthogonally Fixed Points and (m, m)-Hom-Derivation Equations," Journal of Mathematics, Hindawi, vol. 2022, pages 1-6, February.
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