In this paper, we focus on a useful modification of the implicit method by
Noor (Ref. 1) for mixed variational inequalities. Experience on application
s has shown that the number of iterations of the original method depends si
gnificantly on the penalty parameter. One of the contributions of the propo
sed method is that we allow the penalty parameter to be variable. By introd
ucing a self-adaptive rule, we find that our method is more flexible and ef
ficient than the original one. Another contribution is that we require only
an inexact solution of the nonlinear equations at each iteration. A detail
ed convergence analysis of our method is also included.