Generalized vector quasi-variational-like inequality problem: a new approach (Q6054096)

The authors consider a generalized vector quasi-variational inequality in the framework of topological vector spaces, for which they obtain two existence results. The approach is essentially topological, making use of notion of admissible topology, convergence of nets, compactness, KKM-lemma, etc. and avoiding monotonicity type assumptions. To illustrate the applicability of the abstract results, some concrete examples are provided.