Geodesic
Sufficient conditions for the univalence of quasiconformal mappings
Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 793-802.

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Using two methods, quasiconformal continuation involving a theorem of Hadamard and direct estimation of $f(z_2)-f(z_1)$, we obtain sufficient conditions for the univalence of continuously differentiable mappings $f(z)$ of plane domains which, in the case of conformal mappings, reduce to both well-known and new results. 
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     author = {F. G. Avkhadiev},
     title = {Sufficient conditions for the univalence of quasiconformal mappings},
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F. G. Avkhadiev. Sufficient conditions for the univalence of quasiconformal mappings. Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 793-802. http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a0/