Systems of Simultaneous Generalized Vector Quasi-equilibrium Problems in Locally FC-uniform Spaces
Ding Xie-ping · Journal of Sichuan Normal University · 2009
Some new systems of generalized vector quasi-equilibrium problems and simultaneous generalized vector quasi-equilibrium problems are introduced and studied in locally FC-uniform spaces.By using a KKM type theorem and a Himmelberg type fixed point theorem in locally FC-uniform spaces due to author,a new coincidence point theorem for two families of set-valued mappings is first proved in locally FC-uniform spaces.As applications,some new existence theorems of solutions for the systems of generalized vector quasi-equilibrium problems and the systems of simultaneous generalized vector quasi-equilibrium problems are obtained in locally FC-uniform spaces.These results generalize some known results in literature.