Stability of the Functional Equation Deriving From Quadratic Function in Banach Space

Authors

DOI:

https://doi.org/10.26713/cma.v15i2.2536

Keywords:

Banach space, Hyers-Ulam stability, Quadratic functional equation

Abstract

In this manuscript, we introduce a quadratic functional equation of finite variable:
\begin{align}
\nonumber \sum\limits_{i=1}^m \phi \left(2v_i-\sum\limits_{1 \leq i \neq j}^m v_j\right)&=(m-7)\sum\limits_{1 \leq i <j \leq m} \phi (v_i+v_j)+\phi\left(\sum\limits_{i=1}^m v_i\right)\nonumber\\&\quad -(m^2-9m+5) \sum\limits_{i=1}^m \phi(v_i)
\end{align}
and examine its Hyers-Ulam stability of this functional equation in Banach space using direct and fixed point method.

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References

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Published

14-11-2024
CITATION

How to Cite

Amrit, Kumar, A., & Antil, M. K. (2024). Stability of the Functional Equation Deriving From Quadratic Function in Banach Space. Communications in Mathematics and Applications, 15(2), 557–569. https://doi.org/10.26713/cma.v15i2.2536

Issue

Vol. 15 No. 2 (2024)

Section

Research Article

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