AQ and CQ functional equations

Abstract

In this paper, the authors test the generalized Ulam -Hyers stability of the additive-quadratic and cubic-quartic functional equationsvia Quasi-Beta Banach space and Intuitionistic fuzzy Banach space using direct and fixed point methods.

Generalized mixed higher order functional equation in various Banach spaces

“…Inspiring by the overhead idea, Arunkumar et. al., [4] introduced and established the general solution and generalized Ulam -Hyers stability of the simple additive-quadratic and simple cubic-quartic functional equations f (2x) = 3f (x) + f (−x); and g(2x) = 12g(x) + 4g(−x);…”

“…Also, the generalized Ulam -Hyers stability of the functional equations (1.2) in Quasi-Beta Banach space, Intuitionistic fuzzy Banach space applying direct and fixed point methods were discussed in [5].…”

Generalized Ulam - Hyers stability of on (AQQ): Additive-quadratic-Quartic functional equation

“…were investigated by [1], [21], [28], [27], [22], [29], [8], [13] and references cited there in. Motivated by the above results, in this paper, the authors obtain the general solution and generalized Ulam -Hyers stability of additive -quadratic -quartic functional equations…”