Abstract
In this paper, we consider an extension of strongly nonlinear quasivariational inequalities studied by Siddiqi and Ansari. This extended problem also contains several known problems such as quasivariational inequalities and the classical variational inequalities as special cases. We employ the projection method to formulate this extended problem equivalently as a fixed point problem. Some existence results are then derived, and some algorithms for finding approximate solutions are also discussed.
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