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A modified predictor-corrector algorithm for solving nonconvex generalized variational inequality. (English) Zbl 1131.49010

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:

49J40 Variational inequalities
47J20 Variational and other types of inequalities involving nonlinear operators (general)
47J25 Iterative procedures involving nonlinear operators
65K10 Numerical optimization and variational techniques
49M30 Other numerical methods in calculus of variations (MSC2010)
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