Topology Kkm Type Theorem And Its Application In The Space

This thesis consists of four chapters. At first, we introduce the study history as wellas present situation on the KKM theory and gives some basic concepts. Secondly,We obtain some new KKM type theorems and intersection theorems on the basis ofclassical KKM principle by introducing the R-KKM mapping on the topological space.Then, We discuss coincidence theorems, section theorems and fixed point theoremson the non-compact topological space. Finally, we give some variational inequalitiesalternative theorems as application of coincidence theorems and fixed point theorems.This thesis enriches the study results on KKM theory and KKM theory can bestudied and applied more widely.