Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Copyright © 2011 Somyot Plubtieng and Kanokwan Sitthithakerngkiet. 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 type of the system of generalized strong vector
quasiequilibrium problems with set-valued mappings in real locally convex Hausdorff
topological vector spaces. We establish an existence theorem by using Kakutani-Fan-Glicksberg fixed-point theorem and discuss the closedness of strong solution set for the
system of generalized strong vector quasiequilibrium problem. The results presented
in the paper improve and extend the main results of Long et al. (2008).