Some minimax inequalities for functions taking values in a Riesz space

In this paper we furtherly develop the investigation on minimax results for functions taking values in an order-complete topological Riesz space, in particular deriving them from scalar ones, by means of a rather natural tool: Leemnts in the order cone are characterized by the infinitely many inequalities x*(x) > 0 for each linear functional x* in the topological dual. This applies to deriving several Riesz-valued versions of well known minimax inequialities. However in this paper some topological assumptions on the extrema (i.e. greatest lower bounds and least upper bounds) are weakened with respect to those in a previous paper.