  In this work, we study the pseudomonotonicity of multivalued operators from
the point of view of polarity, in an analogous way as the well-known monotone
polar due to Mart\'inez-Legaz and Svaiter, and the quasimonotone polar recently
introduced by Bueno and Cotrina. We show that this new polar, adapted for
pseudomonotonicity, possesses analogous properties to the monotone and
quasimonotone polar, among which are a characterization of pseudomonotonicity,
maximality and pre-maximality. Furthermore, we characterize the notion of
$D$-maximal pseudomonotonicity introduced by Hadjisavvas. We conclude this work
studying the connections between pseudomonotonicity and variational inequality
problems.
