On the Tikhonov regularization of affine pseudomonotone mappings (Q2448202)

The author gives some characterizations of the pseudomonotonicity in connection with the affine mappings on a nonempty closed convex subset \(K\subset \mathbb{R}^n\) and the non-negative orthant \(\mathbb{R}^{n}_{+}\), respectively. The author describes a class of affine pseudomonotone mappings whose regularized operators are not pseudomonotone. The author also shows that the feasibility of a pseudomonotone linear complementarity problem implies that the solution of the regularized problem is unique.