On a functional equation that has the quadratic-multiplicative property

DOI10.1515/MATH-2020-0032zbMath1478.39030OpenAlexW3061877091MaRDI QIDQ2053420

K. Tamilvanan, G. Balasubramanian, Batool Noori, Abbas Najati, Chun-Gil Park

Publication date: 29 November 2021

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2020-0032

zbMATH Keywords

Hyers-Ulam stabilityquadratic functional equationdirect methodfixed point method

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82)

Related Items (7)

Ulam stability and non-stability of additive functional equation in IFN-spaces and 2-Banach spaces by different methods ⋮ Ulam stability of a functional equation deriving from quadratic and additive mappings in random normed spaces ⋮ Stability results of the functional equation deriving from quadratic function in random normed spaces ⋮ On stability of quadratic Lie hom-ders in Lie Banach algebras ⋮ A system of additive functional equations in complex Banach algebras ⋮ Hyers-Ulam stability of additive functional equation using direct and fixed-point methods ⋮ Hyers-Ulam stability of functional equation deriving from quadratic mapping in non-Archimedean \((n,\beta)\)-normed spaces

Cites Work

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• A FIXED POINT APPROACH TO THE STABILITY OF QUADRATIC FUNCTIONAL EQUATION
• Functional Equations and Inequalities with Applications
• Proprieta’ locali e approssimazione di operatori
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• On the Stability of the Linear Functional Equation
• Remarks on the stability of functional equations
• On the stability of the quadratic mapping in normed spaces
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