Superstability of the p-radical functional equations related to Wilson equation and Kim’s equation

In this paper, we solve and investigate the superstability of the p-radical functional equations related to the following Wilson and Kim functional equations f √p xp + yp + f √p xp − yp = λf (x)g(y), f √p xp + yp + f √p xp − yp = λg(x)f (y), where p is an odd positive integer and f is a complex valued function. Furthermore, the results are extended to Banach algebras.