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Zbl 1131.49010
Pang, Li-Ping; Shen, Jie; Song, He-Shan
A modified predictor-corrector algorithm for solving nonconvex generalized variational inequality. (English)
[J] Comput. Math. Appl. 54, No. 3, 319-325 (2007). ISSN 0898-1221

Summary: We suggest and analyze a new modified predictor-corrector algorithm for solving a nonconvex generalized variational inequality using the auxiliary principle technique; the convergence of the algorithm requires the partially relaxed strong monotonicity of the operator.

MSC 2000:: *49J40 Variational methods including variational inequalities
47J20 Inequalities involving nonlinear operators
47J25 Methods for solving nonlinear operator equations (general)
65K10 Optimization techniques (numerical methods)
49M30 Methods of successive approximation, not based on necessary cond.

Keywords: variational inequality; nonconvex set; iterative methods; convergence; partially relaxed strong monotonicity

Cited in: Zbl 1196.49008

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