Solution and hyperstability of orthogonally triple Lie hom-derivations

Authors

  • Javad Izadi Department of Mathematics, payame noor University
  • Mohammad Esmael Samei Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran

DOI:

https://doi.org/10.30495/jme.v19i0.3227

Keywords:

Orthogonally fixed point method, orthogonally triple Lie hom-derivations, Hyers-Ulam stability, hyperstability

Abstract

There current paper deal to introduce a new concept called the orthogonally Jensen $s$-functional equation on triple Lie algebras with preserving orthogonality. Additionally, we demonstrate its additive properties with preserving orthogonality. After that, we define orthogonally triple Lie hom-derivation under the above condition on orthogonally triple Lie algebras. Ultimately, we employ the  valuable technique of  fixed point with the orthogonally conditions approach to delve into stabilities of Hyers-Ulam and hyperstability of orthogonally Jensen $s$-functional equation and triple Lie hom-derivation with preserving orthogonality on orthogonally triple Lie algebras.

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Published

2025-07-12

Issue

Vol. 19

Section

Vol. 19, No. 3, (2025)

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