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Implicit schemes for solving extended general nonconvex variational inequalities. (English) Zbl 1235.65069
Summary: We suggest and analyze some implicit iterative methods for solving the extended general nonconvex variational inequalities using the projection technique. We show that the convergence of these iterative methods requires only the $gh$-pseudomonotonicity, which is a weaker condition than $gh$-monotonicity. We also discuss several special cases. Our method of proof is very simple as compared with other techniques.

##### MSC:
 65K05 Mathematical programming (numerical methods) 49J40 Variational methods including variational inequalities
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##### References:
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