Copyright © 2009 Jian-Wen Peng and Lun Wan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We introduce a new system of generalized vector quasiequilibrium problems which
includes system of vector quasiequilibrium problems, system 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.