Fixed points, minimax inequalities and equilibria of noncompact abstract economies in \(FC\)-spaces (Q939436)

The authors first present a fixed point theorem in the setting of noncompact \(FC\)-spaces. Then they give several equivalent results to this fixed point theorem. As usual application of such kind of fixed point theorem, the authors derive a minimax theorem. Several maximal element theorems are also presented. Once again, as usual application of the maximal element theorems, several equilibrium existence results for abstract economies are derived.