Existence of solutions for quasi-equilibrium problems in noncompact topological spaces
In this paper, a new Fan-Browder type fixed-point theorem is proved under noncompact setting of general topological spaces. By applying the fixed-point theorem, several new existence theorems of solutions for quasi-equilibrium problems are proved under noncompact setting of topological spaces. These theorems improve and generalize a number of important known results in literature. (C) 2000 Elsevier Science Ltd. All rights reserved.
quasi-equilibrium problem topological space fixed point compactly local intersection property