Viscosity approximation methods for nonexpansive mappings and monotone mappings (Q996924)

Let \(C\) be a nonempty closed convex subset of a real Hilbert space \(H\). If \(f\) is a contraction on \(C\), if \(S\) is nonexpansive on \(C\), and a sequence satisfies some iteration condition, then that sequence converges to a common element of the set of fixed points of \(f\) and the set of solutions of the variational inequality for an inverse strongly monotone mapping which solves some variational inequality. Such is the main result; the authors also discuss some applications.