Algorithm of the modified iterative process for nonexpansive mappings.
Wei Xu · Journal of Zhejiang University(Science Edition) · 2009
It is introduced that a algorithm of the iterative process for nonexpansive mappings on a closed convex subset of a Hilbert space H,where x0∈C is arbitrary and xn+1=αnf(xn)+βnxn+γnTxn for n≥1.It is shown that in certain appropriate conditions,when n→∞,then {xn} converge strongly to a fixed point of T,which is the solution to a variational inequality.The results have improved some recent results.