REMARKS ON THE KKM PROPERTY FOR OPEN-VALUED MULTIMAPS ON GENERALIZED CONVEX SPACES KIM HOONJOO; PARK SEHIE;
Let (X, D; ) be a G-convex space and Y a Hausdorff space. Then (X, Y) KD(X, Y), where is an admissible class (dup to Park) and KD denotes the class of multimaps having the KKM property for open-valued multimaps. This new result is used to obtain a KKM type theorem, matching theorems, a fixed point theorem, and a coincidence theorem.
KKM principle;generalized convex (G-convex) spaces;multimaps having the KKM property;multimaps having the KKM property;