Stability of 2-Variable Additive-Quadratic-Cubic-Quartic Functional Equation Using Fixed Point Method

M. Arunkumar, a S. Karthikeyan, b∗ and S. Hemalatha c

Stability of 2-Variable Additive-Quadratic-Cubic-Quartic Functional Equation Using Fixed Point Method

Authors :

M. Arunkumar, ^aS. Karthikeyan, ^b∗and S. Hemalatha ^c

Author Address :

^aDepartment of Mathematics, Government Arts College, Tiruvannamalai, TamilNadu, India - 606 603.
^bDepartment of Mathematics, R.M.K. Engineering College, Kavarapettai, TamilNadu, India - 601 206.
^c Department of Mathematics, Annai Veilankanni’s College of Arts and Science, Chennai, TamilNadu, India - 600 015.

*Corresponding author

Abstract :

In this paper, the authors proved the generalized
Ulam-Hyers stability of 2-variable Additive-Quadratic-Cubic-Quartic functional equation
\begin{align*}
f(x+2y, u+2v)+f(x-2y, u-2v)=&4f(x+y, u+v)-4f(x-y, u-v)-6f(x, u)+f(2y, 2v)\\
&+f(-2y, -2v)-4f(y, v)-4f(-y, -v)
\end{align*}
using fixed point method.

Keywords :

Additive-quadratic-cubic-quartic functional equations, generalized Ulam-Hyers stability, Banach space, fixed point.

DOI :

Article Info :

Received : June 10, 2016; Accepted : December 20, 2016.