Communications of the
Korean Mathematical Society CKMS

Recently, some authors [3, 4, 11, 12, 15] adopted the concept of the so-called $generalized$ $R$-$KKM$ $maps$ which are used to rewrite known results in the KKM theory. In the present paper, we show that those maps are simply KKM maps on $G$-convex spaces. Consequently, results on generalized R-KKM maps follow the corresponding previous ones on $G$-convex spaces.

Keywords: generalized R-KKM mapping, finitely closed-valued (open-valued), generalized R-KKM type theorem

MSC numbers: 49J27, 49J35, 91B50