Partial solution for an open question on pseudomonotone variational inequalities

This article gives a partial solution for the open question raised by Nguyen Thanh Hao Tikhonov regularization algorithm for pseudomonotone variational inequalities, Acta Math. Vietnam., 31 (2006), 283–289] about uniqueness of the solution of the regularized problem VI(K,?F _?) of a pseudomonotone variational inequality VI(K,?F) for sufficiently small parameter ??>?0. It is proved that, under certain additional assumptions, the desired solution uniqueness holds for some classes of pseudoaffine variational inequalities and pseudomonotone variational inequalities.