  The purpose of this paper is to study the $\mathcal{O}$-operators on Malcev
algebras and discuss the solutions of Malcev Yang-Baxter equation by
$\mathcal{O}$-operators. Furthermore we introduce the notion of weighted
$\mathcal{O}$-operators on Malcev algebras, which can be characterized by
graphs of the semi-direct product Malcev algebra. Then we introduce a new
algebraic structure called post-Malcev algebras. Therefore, post-Malcev
algebras can be viewed as the underlying algebraic structures of weighted
$\mathcal{O}$-operators on Malcev algebras. A post-Malcev algebra also gives
rise to a new Malcev algebra. Post-Malcev algebras are analogues for Malcev
algebras of post-Lie algebras and fit into a bigger framework with a close
relationship with post-alternative algebras.
