A 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 equilibrium problems are proved under noncompact setting of topological spaces. These theorems improve and generalize the corresponding results in related literature.
Yi-An Chen. Yi-Ping Zhang. "A Class of Fan-Browder Type Fixed-Point Theorem and Its Applications in Topological Space." Abstr. Appl. Anal. 2010 1 - 9, 2010. https://doi.org/10.1155/2010/314616