The 2-KKM property and its applications in hyperconvex metric spaces Original Research Article

In this work, we first define the generalized 2-View the MathML sourceKKM mapping and the family 2-View the MathML sourceKKM(X,Y) on a metric space, and then we apply these properties to get a 2-View the MathML sourceKKM theorem and a fixed point theorem without a compactness assumption. Next, by using these 2-View the MathML sourceKKM theorems, we get some variational inequality theorems and minimax inequality theorems.