On System of Generalized Vector Quasiequilibrium Problems with Applications

We introduce a new system of generalized vector quasiequilibrium problems whichincludes system of vector quasiequilibrium problems, system of vector equilibrium problems, andvector equilibrium problems, and so forth in literature as special cases. We prove the existence of solutionsfor this system of generalized vector quasi-equilibrium problems. Consequently, we derive someexistence results of a solution for the system of generalized quasi-equilibrium problems and the generalizedDebreu-type equilibrium problem for both vector-valued functions and scalar-valued functions