A fixed point approach to Ulam-Hyers stability of duodecic functional equation in quasi-$β$-normed spaces

Abstract

In this study, we achieve the general solution and investigate Ulam-Hyers stabilities involving a general control function, sum of powers of norms, product of powers of norms and mixed product-sum of powers of norms of the duodecic functional equation in quasi-$β$-normed spaces via fixed point method. We also illustrate a counter-example for non-stability of the duodecic functional equation in singular case.