... 2004Abstract. In this paper we establish some further applications of the KKM-maps principle in hyperconvex metric spaces such as Ky Fan inequality, fixed point theorems,minimax theorems, using the notion ... established main applications of this principle suchas the Ky Fan minimax inequality, fixed point theorems, minimax theorems,equilibrium point theorems, in such spaces, see for instance [4, 9, ... Khamsi established the following KKM-maps principle in hyperconvex metric spaces.Theorem 2.1. (KKM-maps principle) . Let X be a hyperconvex metric space, Cbe an arbitrary subset of X,andF : C →...