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Zbl 1062.49009
Noor, M.A.
Iterative schemes for nonconvex variational inequalities. (English)
[J] J. Optimization Theory Appl. 121, No. 2, 385-395 (2004). ISSN 0022-3239; ISSN 1573-2878/e

Summary: We suggest and analyze some iterative methods for solving nonconvex variational inequalities using the auxiliary principle technique, the convergence of which requires either only pseudomonotonicity or partially relaxed strong monotonicity. Our proofs of convergence are very simple. As special cases, we obtain earlier results for solving general variational inequalities involving convex sets.

MSC 2000:: *49J40 Variational methods including variational inequalities
47J20 Inequalities involving nonlinear operators
47J25 Methods for solving nonlinear operator equations (general)

Keywords: variational inequalities; auxiliary principle technique; fixed-points; convergence

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Zentralblatt MATH Berlin [Germany]