A general implicit iteration for finding fixed points of nonexpansive mappings.

The aim of the paper is to construct an iterative method for finding the fjied points of nonexpansive mappings. We introduce a general implicit iterative scheme for finding an element of the set of fixed points of a nonexpansive mapping defined on a nonempty closed convex subset of a real Hilbert space. The strong convergence theorem for the proposed iterative scheme is proved under certain assumptions imposed on the sequence of parameters. [ABSTRACT FROM AUTHOR]