Ulam-Hyers stability of quadratic reciprocal functional equation in intuitionistic random normed spaces: Various methods

Abstract

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