INQUIRY ABOUT A MINIMAX INEQUALITY IN MKKM SPACE

First, an MKKM space with its classification to MKKMC and MKKMO spaces is introduced to obtain the generalized form of Fan’s matching theorem. Then, the definition of S-weakly KKM multimaps is applied to obtain some variant types of KKM theorems. Finally, as an application of the second part, Fan’s type minimax inequality is given in new settings.