Abstract: | In this paper, we introduce and study a class of generalized vector quasi-variational-like inequality problems, which includes generalized nonlinear vector variational inequality problems, generalized vector variational inequality problems and
generalized vector variational-like inequality problems as special cases. We use the
maximal element theorem with an escaping sequence to prove the existence results of
a solution for generalized vector quasi-variational-like inequalities without any monotonicity conditions in the setting of locally convex topological vector space. |