Orthogonal stability of the generalized quadratic functional equations in the sense of Rätz

Let (X, ⊥) be an orthogonality module in the sense of Rätz over a unital Banach algebra A and Y be a real Banach module over A. In this paper, we apply the alternative fixed point theorem for proving the Hyers-Ulam stability of the orthogonally generalized k-quadratic functional equation of the form...

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Bibliographic Details
Main Authors: Aiemsomboon Laddawan, Sintunavarat Wutiphol
Format: Article
Language:English
Published: De Gruyter 2019-12-01
Series:Demonstratio Mathematica
Subjects:
Online Access:https://doi.org/10.1515/dema-2019-0044