$AQ$ and $CQ$ functional equations

M. Arunkumar1, E. Sathya2, C. Devi Shyamala Mary3*, S. Hema Latha4

doi:10.26637/MJM0601/0024

$AQ$ and $CQ$ functional equations

Authors :

M. Arunkumar¹, E. Sathya², C. Devi Shyamala Mary^3*, S. Hema Latha⁴

Author Address :

^1,2Department of Mathematics, Government Arts College, Tiruvannamalai - 606 603, TamilNadu, India.
³Department of Mathematics, St.Joseph’s College of Arts and Science, Cuddalore - 607 001, TamilNadu, India.
⁴Department of Mathematics, Annai Veilankanni’s College of Arts and Science, Saidapet, Chennai - 600 015, TamilNadu, India.

*Corresponding author.

Abstract :

In this paper, the authors test the generalized Ulam - Hyers stability of the additive-quadratic and cubic-quartic functional equations
egin{align*}
f(2x)= 3f(x) + f(-x);qquad
%end{align*}
%egin{align*}
g(2x)= 12g(x) + 4g(-x),
end{align*}
via Quasi-Beta Banach space and Intuitionistic fuzzy Banach space using direct and fixed point methods.

Keywords :

Additive functional equation, quadratic functional equation, cubic functional equation, quartic functional equation, mixed additive-quadratic functional equations, mixe

DOI :

10.26637/MJM0601/0024

Article Info :

Received : November 01, 2017; Accepted : December 30, 2017.