Orthogonal generalized Lie bracket of triple derivations: properties and stability

Abstract In this article, by using the concept of Jensen and additive mappings, we define the Jensen ρ-functional equation which preserves orthogonality, where ρ ≠ 0 , ± 1 $\rho \neq 0, \pm 1$ , and we show it to be orthogonally additive. Also, we investigate it as an orthogonal C $\mathbb{C}$ -line...

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Bibliographic Details
Main Authors: Zohreh Kefayati, Thabet Abdeljawad, Aiman Mukheimer, Manar A. Alqudah
Format: Article
Language:English
Published: SpringerOpen 2025-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-025-03324-4
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