Generalized symmetric vector quasi-equilibrium problems for set-valued mappings

In this paper, a generalized symmetric vector quasi-equilibrium problem is introduced, which is a generalization of a symmetric vector quasi-equilibrium problem of vector valued mappings. In virtue of a nonlinear scalarization function, some existence results of solutions for generalized symmetric vector quasi-equilibrium problem are established in locally convex Hausdorff topological vector space and Hausdorff topological vector space, respectively.