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Keywords = β-Banach module

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21 pages, 331 KB  
Article
Stability Results of Mixed Type Quadratic-Additive Functional Equation in β-Banach Modules by Using Fixed-Point Technique
by Kandhasamy Tamilvanan, Rubayyi T. Alqahtani and Syed Abdul Mohiuddine
Mathematics 2022, 10(3), 493; https://doi.org/10.3390/math10030493 - 3 Feb 2022
Cited by 7 | Viewed by 1980
Abstract
We aim to introduce the quadratic-additive functional equation (shortly, QA-functional equation) and find its general solution. Then, we study the stability of the kind of Hyers-Ulam result with a view of the aforementioned functional equation by utilizing the technique based on a fixed [...] Read more.
We aim to introduce the quadratic-additive functional equation (shortly, QA-functional equation) and find its general solution. Then, we study the stability of the kind of Hyers-Ulam result with a view of the aforementioned functional equation by utilizing the technique based on a fixed point in the framework of β-Banach modules. We here discuss our results for odd and even mappings as well as discuss the stability of mixed cases. Full article
(This article belongs to the Special Issue Nonlinear Equations: Theory, Methods, and Applications II)
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