Some saddle-point theorems for vector-valued functions

This paper concerns with vector saddle point problems where the image space of the objective bifunction is not endowed with any topology and the orders in the image space are defined from general sets. Some new existence results of vector saddle points are established based on using notions of vector-cyclic quasimonotonicity together with notions of “algebraic” semicontinuity, without assuming convexity assumptions.