We prove that any connected subset $F$ of a connected space $X$ with $|F| = \mathfrak{c} $ is a Darboux retract of $X$ if there exists a Darboux function $f : X → [0,1]$ such that $F = f^{-1} (0).$  We also show that any connected subset $E$ of a metrizable separable space $X$ is a weak Darboux retract of $X$ if the complement $X$ \ $E$ has no isolated points.

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