MAXIMAL ELEMENTS OF CONDENSING MAPS ON ABSTRACT CONVEX SPACES WITH APPLICATIONS

摘要

We develop properties of locally Gamma-convex spaces which is a far-reaching generalization of locally convex spaces, l.c.-spaces and other abstract locally convex structures. And we get maximal element existence theorems on the product of locally Gamma-convex spaces. A new existence theorem of equilibria for noncompact abstract economies is also derived.