International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 430930, 10 pages
doi:10.1155/2009/430930
On system of generalized vector quasiequilibrium problems with applications
Jian-Wen Peng1
and Lun Wan2
1College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China
2Scientific Research Office, Chongqing Normal University, Chongqing 400047, China
Abstract
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.