In this paper we establish a collectively fixed point theorem and an equilibrium existence theorem
for generalized games in product locally G-convex uniform spaces. As applications, some new
existence theorems of solutions for the system of generalized vector quasi-equilibrium problems are
derived in product locally G-convex uniform spaces. These theorems are new and generalize some
known results in the literature.
Journal of Mathematical Analysis and Applications, 298(2):398-410