Classical and Fixed Point Approach to the Stability Analysis of a Bilateral Symmetric Additive Functional Equation in Fuzzy and Random Normed Spaces

In this article, a new kind of bilateral symmetric additive type functional equation is introduced. One the interesting characteristics fact that it ideal for investigating Ulam–Hyers stabilities in two prominent normed spaces, namely fuzzy and random spaces simultaneously. This article analyzes proposed both spaces. The solution exhibits property symmetry, is, left object becomes right image, vice versa. Additionally, stability results are determined using direct fixed point methods.