Hyers–Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces

Abstract The main aim of this paper is to establish the Hyers–Ulam stability and hyperstability of a Jensen-type quadratic mapping in 2-Banach spaces. That is, we prove the various types of Hyers–Ulam stability and hyperstability of the Jensen-type quadratic functional equation of the form g ( x + y...

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Bibliographic Details
Published in:Journal of Inequalities and Applications
Main Authors: Arumugam Ponmana Selvan, Abbas Najati
Format: Article
Language:English
Published: SpringerOpen 2022-03-01
Subjects:
Hyers–Ulam stability
Hyperstability
Jensen-type function
Quadratic function
2-Banach space
Direct method
Online Access:https://doi.org/10.1186/s13660-022-02769-1

Internet

https://doi.org/10.1186/s13660-022-02769-1

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