A \(G\)-KKM type theorem and its applications to minimax inequalities on \(G\)-convex spaces
Summary: A \(G\)-KKM type theorem is obtained on \(G\)-convex spaces. As application, a generalization of Ky Fan's minimax inequality to non-compact sets on \(G\)-convex spaces is first obtained. As special cases of this minimax inequality, some new minimax inequalities are obtained. Four fixed point theorems and four equivalent formulations of the second minimax inequality are also obtained.
lower semicontinuous and upper semicontinuous maps
scientific article; zbMATH DE number 1247737