Generalized vector quasi-equilibrium problems with set-valued mappings

This paper is devoted to study a new class of generalized vector quasi-equilibrium problems with set-valued mappings. By means of the Fan–KKM Theorem and lower semicontinuity with respect to cone order of the set-valued mapping, we obtain an existence result for this class of generalized vector quasi-equilibrium problems with set-valued mappings. Our result extents and improves some previous results.