A Hybrid Newton Method for Solving Box Constrained Variational Inequalitiy Problems Via the D-Gap Function
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A box constrained variational inequality problem can be reformulated as an unconstrained minimization problem through the D-gap function. A hybrid Netwon-type method is proposed for minimizing the D-gap function. Under suitable conditions, the algorithm is shown to be globally convergent and locally quadratically convergent. Some numerical results are also presented.
variational inequality problem