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The purpose of this paper is to study the $\mathcal{O}$-operators on Malcevalgebras 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 bygraphs of the semi-direct product Malcev algebra. Then we introduce a newalgebraic structure called post-Malcev algebras. Therefore, post-Malcevalgebras can be viewed as the underlying algebraic structures of weighted$\mathcal{O}$-operators on Malcev algebras. A post-Malcev algebra also givesrise to a new Malcev algebra. Post-Malcev algebras are analogues for Malcevalgebras of post-Lie algebras and fit into a bigger framework with a closerelationship with post-alternative algebras.

Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras