A class of projection and contraction methods for a class of variant variational inequalities and its properties. (Chinese. English summary) Zbl 0916.49009
Summary: We introduce iterative methods for solving a class of variant variational inequalities: find \(u\in \mathbb{R}^n\) satisfying
\[
F(u)\in \Omega,\;(v-F(u))^ru\geq 0,\;\forall v\in \Omega,\;\Omega\subset\mathbb{R}^n.
\]
The convergence and some properties of the methods are obtained.
MSC:
49J40 | Variational inequalities |