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An algorithmic approach to prox-regular variational inequalities. (English) Zbl 1062.65071

The author introduces a prox-gradient method for solving the nonconvex variational inequality problem and shows that the prox-regularity is enough to guarantee its local linear convergence. The main result of the paper can be considered as an improvement and a significant extension of some known results. The technique of the proof of the main result is very interesting.

MSC:

65K10 Numerical optimization and variational techniques
49J40 Variational inequalities
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