Applications of Fan's matching theorem in MKKM spaces
M. Eshaghi Gordji, M. Rostamian Delavar, Mehdi Roohi · Mathematical Inequalities & Applications · 2014
Using some concepts in MKKM space, we prove the generalized forms of open and closed versions of Fan's matching theorem. The S -weakly KKM multimap is applied to obtain a type of KKM theorem. As an application, a Fan type minimax theorem is proved. Moreover, a minimax inequality is given in these new settings.