In this paper, the authors give a uniqueness theorem for the Dirichlet problem of minimal maps into general Riemannian manifolds with non-positive sectional curvature, improving [Lee, YI., Ooi, Y. S. and Tsui, MP., Uniqueness of minimal graph in general codimension, J. Geom. Anal., 29, 2019, 121–133, Theorem 5.2]. The proof of this theorem is based on the convexity of several functions in terms of squared singular values along the geodesic homotopy of two given minimal maps.
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