In this paper, using the Brzd?k’s fixed point theorem [9, Theorem 1] in non-Archimedean (2,
β)-Banach spaces, we prove some stability and hyperstability results for an
p-th root functional equation
where
p ∈ {1, …, 5},
a1, …,
ak are fixed nonzero reals when
p ∈ {1, 3, 5} and are fixed positive reals when
p ∈ {2, 4}.