Continuous Jordan triple maps from diagonal unitary groups to unitary groups

‎Let $\mathbb{U}_{n}$ be a group of $n \times n$ complex unitary matrices and $\mathbb{D}_{n}$ be a its subgroup consists of $n \times n$ diagonal matrices which diagonal elements are complex numbers of modulus $1$‎. ‎In this paper we present the general form of all continuous maps from $\mathbb{D}_{n}$ to $\mathbb{U}_{m}$ that preserve the Jordan triple product‎. ‎These are the continuous maps $ \phi‎ :‎\mathbb{D}_{n} \rightarrow \mathbb{U}_{m}$ which satisfy‎ ‎ \phi(VWV) = \phi(V) \phi(W) \phi(W) V‎, ‎W \in D_{n}. ‎