Ulam-Hyers Stability of Quadratic Reciprocal Functional Equation in Intuitionistic Random Normed spaces: Various Methods

John M. Rassias, a M. Arunkumar, b and S. Karthikeyan c,∗

Ulam-Hyers Stability of Quadratic Reciprocal Functional Equation in Intuitionistic Random Normed spaces: Various Methods

Authors :

John M. Rassias, ^aM. Arunkumar,^b and S. Karthikeyan^c,∗

Author Address :

^aPedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, Athens 15342, Greece.
^b Department of Mathematics, Government Arts College, Tiruvannamalai, TamilNadu, India-606 603.
^c Department of Mathematics, R.M.K. Engineering College, Kavarapettai, TamilNadu, India-601 206.

*Corresponding author

Abstract :

In this paper, the authors investigated the intuitionistic random stability of a quadratic reciprocal functional equation
\begin{align*}
f(x+2y)+f(2x+y)=\frac{f(x)f(y)\left[5f(x)+5f(y)+8\sqrt{f(x)f(y)}\right]}{\left[2f(x)+2f(y)+5\sqrt{f(x)+f(y)}\right]^2}
\end{align*}
using direct and fixed point methods.

Keywords :

Quadratic reciprocal functional equation, generalized Ulam-Hyers stability, intuitionistic random normed space, fixed point.

DOI :

Article Info :

Received : October 29, 2016; Accepted : December 14, 2016.