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Zbl 1062.65071
Moudafi, A.
An algorithmic approach to prox-regular variational inequalities. (English)
[J] Appl. Math. Comput. 155, No. 3, 845-852 (2004). ISSN 0096-3003

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.
[Akrur Behera (Rourkela)]
MSC 2000:
*65K10 Optimization techniques (numerical methods)
49J40 Variational methods including variational inequalities

Keywords: prox-regularity; proximal mapping; Lipschitz continuity; prox-gradient method; noncovex variational inequality; convergence

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