On the Stability of the Quadratic Functional Equation $f(2x+y) + f(x+2y)$ $= 4f(x+y) + f(x) + f(y)$ in $2$-Banach Space


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Authors

  • Bhavin Mansukhlal Patel Department of Mathematics, Gujarat Arts and Science College, Ahmedabad, Gujarat, India

Keywords:

Hyers-Ulam stability, $2$-Banach space, Quadratic function

Abstract

In this research paper, we investigate the Hyers-Ulam stability of the functional equation $f(2x+y) + f(x+2y) = 4f(x+y) + f(x) + f(y)$ in $2$-Banach space.

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Published

01-01-2026

How to Cite

Bhavin Mansukhlal Patel. (2026). On the Stability of the Quadratic Functional Equation $f(2x+y) + f(x+2y)$ $= 4f(x+y) + f(x) + f(y)$ in $2$-Banach Space. International Journal of Mathematics And Its Applications, 13(4), 41–53. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1631

Issue

Vol. 13 No. 4 (2025)

Section

Research Article

License

Copyright (c) 2026 International Journal of Mathematics And its Applications

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