Hyers–Ulam stability of norm-additive functional equations via ( δ , ϵ ) $(\delta , \epsilon )$ -isometries

Hyers–Ulam stability of norm-additive functional equations via ( δ , ϵ ) $(\delta , \epsilon )$ -isometries

Abstract This research examines the Hyers–Ulam stability of norm-additive functional equations expressed as ∥ ξ ( g h − 1 ) ∥ = ∥ ξ ( g ) − ξ ( h ) ∥ , ∥ ξ ( g h ) ∥ = ∥ ξ ( g ) + ξ ( h ) ∥ , $$\begin{aligned}& \|\xi (gh^{-1})\|=\|\xi (g)-\xi (h)\|,\\& \|\xi (gh)\|=\|\xi (g)+\xi (h)\|, \end{...

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Bibliographic Details
Main Authors: Muhammad Sarfraz, Jiang Zhou, Yongjin Li
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of Inequalities and Applications
Subjects:
Isometry
Hyers–Ulam stability
Banach space
Norm-additive functional equations
Online Access:https://doi.org/10.1186/s13660-024-03233-y
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