Random stability and hyperstability of multi quadratic mappings

In this paper, we introduce a new quadratic functional equation. In light of this equation, we define the multi-quadratic mappings and reduce the system of n equations defining the multi-quadratic mappings to a single equation. We also obtain some stability and hyperstability results concerning mul...

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Bibliographic Details
Main Authors: Park, Choonkil, Bodaghi, Abasalt, Alias, Idham Arif
Format: Article
Language:English
Published: Element D.O.O. 2022
Online Access:http://psasir.upm.edu.my/id/eprint/102987/
http://psasir.upm.edu.my/id/eprint/102987/1/102987.pdf
Description
Summary:In this paper, we introduce a new quadratic functional equation. In light of this equation, we define the multi-quadratic mappings and reduce the system of n equations defining the multi-quadratic mappings to a single equation. We also obtain some stability and hyperstability results concerning multi-quadratic mappings in the setting of random normed spaces.