Systems of nonempty intersection theorems with applications Original Research Article

In this paper, we study the systems of nonempty intersection theorems. By the systems of nonempty intersection theorems, we can study the existence theorem of systems of quasi-KKM problems, the existence theorems of systems of quasi-variational inclusions problems, the existence theorems of systems of quasi-variational disclusions problems, and fixed point theorem. We also establish some of their equivalent relations.