Multiplicative Lie triple derivation of triangular 3-matrix rings

Let $${\mathfrak {T}}={\mathfrak {T}}_3(\mathrm {R}_i, \mathrm {M}_{ij})$$ be a triangular 3-matrix ring. In the present paper, we study of multiplicative Lie triple derivation on triangular 3-matrix rings and prove that every multiplicative Lie triple derivation on triangular 3-matrix rings can be written as a sum of an additive derivation and a center valued map vanishing at each second commutator.