Stability of a Quadratic-Reciprocal Functional Equation: Direct Method

Authors

DOI:

https://doi.org/10.26713/cma.v14i5.2224

Keywords:

Quadratic reciprocal functional equation, Ulam-Hyers stability, Fuzzy Banach algebra

Abstract

In this paper, we establish the Hyers-Ulam, Hyers-Ulam-Rassias, generalized Hyers-Ulam-Rassias, and Rassias stability results of the quadratic-reciprocal functional equation:
\begin{align*}
f(x+y)=\frac{f(x)f(y)}{f(x)+f(y)+2\sqrt{f(x)f(y)}}
\end{align*}
connected with fuzzy homomorphisms and fuzzy derivations between fuzzy Banach algebras using direct method.

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Published

16-04-2024
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How to Cite

Karthikeyan, S., Suresh, M., Priya, V. B., & Palani, P. (2024). Stability of a Quadratic-Reciprocal Functional Equation: Direct Method. Communications in Mathematics and Applications, 14(5), 1615–1624. https://doi.org/10.26713/cma.v14i5.2224

Issue

Vol. 14 No. 5 (2023)

Section

Research Article

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