Generalized Hyers-Ulam stability of functional equation deriving from additive and quadratic functions in fuzzy Banach space via two different techniques

A. Bodaghi1*, M. Arunkumar2, S. Karthikeyan3, E. Sathya3

doi:10.26637/MJM0601/0029

Generalized Hyers-Ulam stability of functional equation deriving from additive and quadratic functions in fuzzy Banach space via two different techniques

Authors :

A. Bodaghi^1*, M. Arunkumar², S. Karthikeyan³, E. Sathya³

Author Address :

¹Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran.
^2,4Department of Mathematics, Government Arts College, Tiruvannamalai - 606 603, TamilNadu, India.
³Department of Mathematics, R.M.K. Engineering College, Kavarapettai - 601 206, TamilNadu, India.

*Corresponding author.

Abstract :

In this paper, authors given the generalized Hyers - Ulam stability of the functional equation deriving from additive and quadratic functions
egin{align*}
sum_{i=1}^n f left(x_i-frac{1}{n}sum_{j=1}^n x_j ight)
= sum_{i=1}^n fleft(x_i ight)
- n fleft(frac{1}{n}sum_{j=1}^n x_j ight)
end{align*}
where $n $ is a positive integer with $n geq 2$ in Fuzzy Banach space via two different techniques.

Keywords :

Additive, Quadratic, mixed additive-quadratic functional equations, Generalized Ulam - Hyers stability, Fuzzy Banach space, fixed point.

DOI :

10.26637/MJM0601/0029

Article Info :

Received : November 16, 2017; Accepted : December 29, 2017.