Some results for the family image and the image-mapping in hyperconvex metric spaces Original Research Article

In this work, we first define the generalized View the MathML source2−gKKM mapping and the family View the MathML source2−gKKM(X,Y) in a hyperconvex metric space, and we get a fixed point theorem on this family without compact assumption. Next, we establish some variational inequalities and minimax inequalities for the family View the MathML source2−gKKM(X,Y) and the ΦΦ-mapping.