EN
The purpose of this paper is twofold. The first is to weaken or omit the condition $dim f^{-1}(H_i ∩ H_j) ≤ m-2$ for i ≠ j in some previous uniqueness theorems for meromorphic mappings. The second is to decrease the number q of hyperplanes $H_j$ such that f(z) = g(z) on $⋃_{j=1}^{q}f^{-1}(H_j)$, where f,g are meromorphic mappings.