Quasi-equilibrium problems and constrained multiobjective games in generalized convex space

A class of quasi-equilibrium problems and a class of constrained multiobjec tive games were introduced and studied in generalized convex spaces without linear structure. First, two existence theorems of solutions for quasi-equ ilibrium problems are proved in noncompact generalized convex spaces. Then, ar applications of the quasi-equilibrium existence theorem, several existe nce theorems of weighted Nash-equilibria and Pareto equilibria for the cons trained multiobjective games are established in noncompact generalized conv ex spaces. These theorems improve, unify, and generalize the corresponding results of the multiobjective games in recent literatures.