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

J. M. Rassias, K. Ravi, B. V. Senthil Kumar

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. 

Tbilisi Mathematical Journal, Vol. 10(4) (2017), pp. 83-101