Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article On the Existence Result for System of Generalized Strong Vector Quasiequilibrium Problems Somyot Plubtieng and Kanokwan Sitthithakerngkiet | Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011 Article ID 475121 9 pages doi 2011 475121 Research Article On the Existence Result for System of Generalized Strong Vector QuasiequilibriUm Problems Somyot Plubtieng and Kanokwan Sitthithakerngkiet Department of Mathematics Faculty of Science Naresuan University Phitsanulok 65000 Thailand Correspondence should be addressed to Somyot Plubtieng somyotp@ Received 3 December 2010 Accepted 12 January 2011 Academic Editor Qamrul Hasan Ansari Copyright 2011 S. Plubtieng and K. 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 . 1. Introduction The equilibrium problem is a generalization of classical variational inequalities. This problem contains many important problems as special cases for instance optimization Nash equilibrium complementarity and fixed-point problems see 1-3 and the references therein . Recently there has been an increasing interest in the study of vector equilibrium problems. Many results on existence of solutions for vector variational inequalities and vector equilibrium problems have been established see . 4-16 . Let X and Z be real locally convex Hausdorff space K c X a nonempty subset and C c Z be a closed convex pointed cone. Let F K X K 2Z be a given set-valued mapping. Ansari et al. 17 introduced the .
