On Pseudomonotone Maps T for which -T is also Pseudomonotone

Recently pseudomonotone variational inequalities have been studied quite extensively, hereby extending the theory of pseudoconvex minimization problems. The focus of the present work are "pseudoaffine maps", i.e., pseudomonotone maps T for which -T is also pseudomonotone. A particular case of such maps are the gradients of pseudolinear functions. Our main goal is to derive the general form of pseudoaffine maps which are defined on the whole space.