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In this paper, we introduce and study a class of generalized nonlinear vector quasi-variational- like inequalities with set-valued mappings in Hausdorff topological vector spaces which includes gener- alized nonlinear mixed variational-like inequalities, generalized vector quasi-variational-like inequalities, generalizedmixedquasi-variational-likeinequalitiesandsoon. Bymeansoffixedpointtheorem, weobtain existencetheoremofsolutionstotheclassofgeneralizednonlinearvectorquasi-variational-likeinequalities in the setting of locally convex topological vector spaces.

Existence of solutions for generalized nonlinear vector quasi-variational-like inequalities with set-valued mappings