Fixed Point Theorem of Set-valued Mappings with Applications to System of Generalized Vector Quasi-equilibrium Problems
Ding Xie-ping · Journal of Sichuan Normal University · 2006
In this paper,some new systems of generalized vector quasi-equilibrium problems are introduced in G-convex space.By applying the fixed point theorem of set-valued mappings of nocompact product G-convex space,some new existence theorems of system of generalized vector quasi-equilibrium problems are proved.These theorems improve and generalize some existing results of equilibrium and quasi-equilibrium problems in abstract convex spaces.