On system of generalized vector quasiequilibrium problems with applications (Q1035154)

Summary: We introduce a new system of generalized vector quasiequilibrium problems including systems of vector quasiequilibrium problems, systems of vector equilibrium problems, and vector equilibrium problems, and so forth in literature as special cases. We prove the existence of solutions for this system of generalized vector quasi-equilibrium problems. Consequently, we derive some existence results of a solution for the system of generalized quasi-equilibrium problems and the generalized Debreu-type equilibrium problem for both vector-valued functions and scalar-valued functions.