Some Nonempty Intersection Theorems in Generalized Interval Spaces with Applications

AbstractIn this paper some parametric types of KKM theorems are established in generalized interval spaces. As applications, we utilize these results to obtain some new minimax theorems, section theorems, and existence theorems of solutions for variational inequalities. The results presented in this paper not only include some important earlier results and the famous von Neumann theorems as their special cases, but also improve and extend other corresponding results