This paper deals with the convergence of the algorithm built on the auxiliary problem principle for solving a class of pseudomonotone type mixed variational-like inequalities. The convergence criteria of this method are presented under a joint pseudo-Dunn property or a joint strong pseudomonotonicity assumption on the operators involved in the mixed variational-like inequality problem. Moreover a posteriori error estimation for approximate solutions is also given.
Taiwanese J. Math.
10(2):
515-529
(2006).
DOI: 10.11650/twjm/1500403840