  The main feature of Hom-algebras is that the identities defining the
structures are twisted by linear maps. The purpose of this paper is to
introduce and study a Hom-type generalization of pre-Malcev algebras and
M-dendriform algebras, called Hom-pre-Malcev algebras and Hom-M-dendriform
algebras. We also introduce the notion of $\mathcal{O}$-operators of Hom-Malcev
and Hom-pre-Malcev algebras and show the connections between Hom-Malcev,
Hom-pre-Malcev and Hom-M-dendriform algebras using $\mathcal{O}$-operators.
Hom-pre-Malcev algebras and Hom-M-dendriform algebras generalize Hom-pre-Lie
algebras and Hom-L-dendriform algebras respectively to the alternative setting
and fit into a bigger framework with a close relationship with
Hom-pre-alternative algebras and Hom-alternative quadri-algebras respectively.
