On the Existence Result for System of Generalized Strong Vector Quasiequilibrium Problems
Somyot Plubtieng, Kanokwan Sıtthıthakerngkıet · Fixed Point Theory and Applications · 2011
Abstract 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).