This is a monograph on the contemporary KKM theory.It consists of three chapters: Chapter I, classical KKM theory; Chapter II , S-KKM theory; Chapter m,the developing of KKM theory. They are applied to study the theory of set-value maps, including which fixed point theorem matching theorem, coincidence theorem, minimax inequalities,variational inequalities and so on,.Several interesting results from equations or from geometry.Most materials in this paper are results scattering in recent journals and preprints ,and some proofnesses are simplifized. |