Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 475121, 9 pages
Research Article

On the Existence Result for System of Generalized Strong Vector Quasiequilibrium Problems

Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

Received 3 December 2010; Accepted 12 January 2011

Academic Editor: Qamrul Hasan Ansari

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).